Solve (d-1)^2(d-2)^2(d-3) chegg

Question

Simplify the expression

e d^{5} c h g^{2} - 9 e d^{4} c h g^{2} + 31 e d^{3} c h g^{2} - 51 e d^{2} c h g^{2} + 40 e d c h g^{2} - 12 ec h g^{2}

Evaluate

(d - 1)^{2} (d - 2)^{2} (d - 3) c h e g \times g

Multiply the terms

(d - 1)^{2} (d - 2)^{2} (d - 3) c h e g^{2}

Use the commutative property to reorder the terms

e (d - 1)^{2} (d - 2)^{2} c h g^{2} (d - 3)

Expand the expression

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e (d^{2} - 2 d + 1) (d - 2)^{2} c h g^{2} (d - 3)

Expand the expression

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e (d^{2} - 2 d + 1) (d^{2} - 4 d + 4) c h g^{2} (d - 3)

Multiply the terms

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(e d^{2} - 2 e d + e) (d^{2} - 4 d + 4) c h g^{2} (d - 3)

Multiply the terms

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Evaluate

(e d^{2} - 2 e d + e) (d^{2} - 4 d + 4)

Apply the distributive property

e d^{2} \times d^{2} - e d^{2} \times 4 d + e d^{2} \times 4 - 2 e d \times d^{2} - (- 2 e d \times 4 d) - 2 e d \times 4 + e d^{2} - e \times 4 d + e \times 4

Multiply the terms

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e d^{4} - e d^{2} \times 4 d + e d^{2} \times 4 - 2 e d \times d^{2} - (- 2 e d \times 4 d) - 2 e d \times 4 + e d^{2} - e \times 4 d + e \times 4

Multiply the terms

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e d^{4} - 4 e d^{3} + e d^{2} \times 4 - 2 e d \times d^{2} - (- 2 e d \times 4 d) - 2 e d \times 4 + e d^{2} - e \times 4 d + e \times 4

Use the commutative property to reorder the terms

e d^{4} - 4 e d^{3} + 4 e d^{2} - 2 e d \times d^{2} - (- 2 e d \times 4 d) - 2 e d \times 4 + e d^{2} - e \times 4 d + e \times 4

Multiply the terms

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e d^{4} - 4 e d^{3} + 4 e d^{2} - 2 e d^{3} - (- 2 e d \times 4 d) - 2 e d \times 4 + e d^{2} - e \times 4 d + e \times 4

Multiply the terms

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e d^{4} - 4 e d^{3} + 4 e d^{2} - 2 e d^{3} - (- 8 e d^{2}) - 2 e d \times 4 + e d^{2} - e \times 4 d + e \times 4

Multiply the numbers

e d^{4} - 4 e d^{3} + 4 e d^{2} - 2 e d^{3} - (- 8 e d^{2}) - 8 e d + e d^{2} - e \times 4 d + e \times 4

Use the commutative property to reorder the terms

e d^{4} - 4 e d^{3} + 4 e d^{2} - 2 e d^{3} - (- 8 e d^{2}) - 8 e d + e d^{2} - 4 e d + e \times 4

Use the commutative property to reorder the terms

e d^{4} - 4 e d^{3} + 4 e d^{2} - 2 e d^{3} - (- 8 e d^{2}) - 8 e d + e d^{2} - 4 e d + 4 e

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

e d^{4} - 4 e d^{3} + 4 e d^{2} - 2 e d^{3} + 8 e d^{2} - 8 e d + e d^{2} - 4 e d + 4 e

Subtract the terms

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e d^{4} - 6 e d^{3} + 4 e d^{2} + 8 e d^{2} - 8 e d + e d^{2} - 4 e d + 4 e

Add the terms

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e d^{4} - 6 e d^{3} + 13 e d^{2} - 8 e d - 4 e d + 4 e

Subtract the terms

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e d^{4} - 6 e d^{3} + 13 e d^{2} - 12 e d + 4 e

(e d^{4} - 6 e d^{3} + 13 e d^{2} - 12 e d + 4 e) c h g^{2} (d - 3)

Multiply the terms

(e d^{4} c - 6 e d^{3} c + 13 e d^{2} c - 12 e d c + 4 ec) h g^{2} (d - 3)

Multiply the terms

(e d^{4} c h - 6 e d^{3} c h + 13 e d^{2} c h - 12 e d c h + 4 ec h) g^{2} (d - 3)

Multiply the terms

(e d^{4} c h g^{2} - 6 e d^{3} c h g^{2} + 13 e d^{2} c h g^{2} - 12 e d c h g^{2} + 4 ec h g^{2}) (d - 3)

Apply the distributive property

e d^{4} c h g^{2} d - e d^{4} c h g^{2} \times 3 - 6 e d^{3} c h g^{2} d - (- 6 e d^{3} c h g^{2} \times 3) + 13 e d^{2} c h g^{2} d - 13 e d^{2} c h g^{2} \times 3 - 12 e d c h g^{2} d - (- 12 e d c h g^{2} \times 3) + 4 ec h g^{2} d - 4 ec h g^{2} \times 3

Multiply the terms

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e d^{5} c h g^{2} - e d^{4} c h g^{2} \times 3 - 6 e d^{3} c h g^{2} d - (- 6 e d^{3} c h g^{2} \times 3) + 13 e d^{2} c h g^{2} d - 13 e d^{2} c h g^{2} \times 3 - 12 e d c h g^{2} d - (- 12 e d c h g^{2} \times 3) + 4 ec h g^{2} d - 4 ec h g^{2} \times 3

Use the commutative property to reorder the terms

e d^{5} c h g^{2} - 3 e d^{4} c h g^{2} - 6 e d^{3} c h g^{2} d - (- 6 e d^{3} c h g^{2} \times 3) + 13 e d^{2} c h g^{2} d - 13 e d^{2} c h g^{2} \times 3 - 12 e d c h g^{2} d - (- 12 e d c h g^{2} \times 3) + 4 ec h g^{2} d - 4 ec h g^{2} \times 3

Multiply the terms

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e d^{5} c h g^{2} - 3 e d^{4} c h g^{2} - 6 e d^{4} c h g^{2} - (- 6 e d^{3} c h g^{2} \times 3) + 13 e d^{2} c h g^{2} d - 13 e d^{2} c h g^{2} \times 3 - 12 e d c h g^{2} d - (- 12 e d c h g^{2} \times 3) + 4 ec h g^{2} d - 4 ec h g^{2} \times 3

Multiply the numbers

e d^{5} c h g^{2} - 3 e d^{4} c h g^{2} - 6 e d^{4} c h g^{2} - (- 18 e d^{3} c h g^{2}) + 13 e d^{2} c h g^{2} d - 13 e d^{2} c h g^{2} \times 3 - 12 e d c h g^{2} d - (- 12 e d c h g^{2} \times 3) + 4 ec h g^{2} d - 4 ec h g^{2} \times 3

Multiply the terms

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e d^{5} c h g^{2} - 3 e d^{4} c h g^{2} - 6 e d^{4} c h g^{2} - (- 18 e d^{3} c h g^{2}) + 13 e d^{3} c h g^{2} - 13 e d^{2} c h g^{2} \times 3 - 12 e d c h g^{2} d - (- 12 e d c h g^{2} \times 3) + 4 ec h g^{2} d - 4 ec h g^{2} \times 3

Multiply the numbers

e d^{5} c h g^{2} - 3 e d^{4} c h g^{2} - 6 e d^{4} c h g^{2} - (- 18 e d^{3} c h g^{2}) + 13 e d^{3} c h g^{2} - 39 e d^{2} c h g^{2} - 12 e d c h g^{2} d - (- 12 e d c h g^{2} \times 3) + 4 ec h g^{2} d - 4 ec h g^{2} \times 3

Multiply the terms

e d^{5} c h g^{2} - 3 e d^{4} c h g^{2} - 6 e d^{4} c h g^{2} - (- 18 e d^{3} c h g^{2}) + 13 e d^{3} c h g^{2} - 39 e d^{2} c h g^{2} - 12 e d^{2} c h g^{2} - (- 12 e d c h g^{2} \times 3) + 4 ec h g^{2} d - 4 ec h g^{2} \times 3

Multiply the numbers

e d^{5} c h g^{2} - 3 e d^{4} c h g^{2} - 6 e d^{4} c h g^{2} - (- 18 e d^{3} c h g^{2}) + 13 e d^{3} c h g^{2} - 39 e d^{2} c h g^{2} - 12 e d^{2} c h g^{2} - (- 36 e d c h g^{2}) + 4 ec h g^{2} d - 4 ec h g^{2} \times 3

Multiply the numbers

e d^{5} c h g^{2} - 3 e d^{4} c h g^{2} - 6 e d^{4} c h g^{2} - (- 18 e d^{3} c h g^{2}) + 13 e d^{3} c h g^{2} - 39 e d^{2} c h g^{2} - 12 e d^{2} c h g^{2} - (- 36 e d c h g^{2}) + 4 ec h g^{2} d - 12 ec h g^{2}

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

e d^{5} c h g^{2} - 3 e d^{4} c h g^{2} - 6 e d^{4} c h g^{2} + 18 e d^{3} c h g^{2} + 13 e d^{3} c h g^{2} - 39 e d^{2} c h g^{2} - 12 e d^{2} c h g^{2} + 36 e d c h g^{2} + 4 ec h g^{2} d - 12 ec h g^{2}

Subtract the terms

More Steps

e d^{5} c h g^{2} - 9 e d^{4} c h g^{2} + 18 e d^{3} c h g^{2} + 13 e d^{3} c h g^{2} - 39 e d^{2} c h g^{2} - 12 e d^{2} c h g^{2} + 36 e d c h g^{2} + 4 ec h g^{2} d - 12 ec h g^{2}

Add the terms

More Steps

e d^{5} c h g^{2} - 9 e d^{4} c h g^{2} + 31 e d^{3} c h g^{2} - 39 e d^{2} c h g^{2} - 12 e d^{2} c h g^{2} + 36 e d c h g^{2} + 4 ec h g^{2} d - 12 ec h g^{2}

Subtract the terms

More Steps

e d^{5} c h g^{2} - 9 e d^{4} c h g^{2} + 31 e d^{3} c h g^{2} - 51 e d^{2} c h g^{2} + 36 e d c h g^{2} + 4 ec h g^{2} d - 12 ec h g^{2}

Solution

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e d^{5} c h g^{2} - 9 e d^{4} c h g^{2} + 31 e d^{3} c h g^{2} - 51 e d^{2} c h g^{2} + 40 e d c h g^{2} - 12 ec h g^{2}

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