Solve (x-3y)^2 203(x-3)(y-1)

Evaluate

(x - 3 y)^{2} \times 203 (x - 3) (y - 1)

Use the commutative property to reorder the terms

203 (x - 3 y)^{2} (x - 3) (y - 1)

Expand the expression

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203 (x^{2} - 6 x y + 9 y^{2}) (x - 3) (y - 1)

Multiply the terms

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(203 x^{2} - 1218 x y + 1827 y^{2}) (x - 3) (y - 1)

Multiply the terms

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(203 x^{3} - 609 x^{2} - 1218 x^{2} y + 3654 x y + 1827 y^{2} x - 5481 y^{2}) (y - 1)

Apply the distributive property

203 x^{3} y - 203 x^{3} \times 1 - 609 x^{2} y - (- 609 x^{2} \times 1) - 1218 x^{2} y \times y - (- 1218 x^{2} y \times 1) + 3654 x y \times y - 3654 x y \times 1 + 1827 y^{2} x y - 1827 y^{2} x \times 1 - 5481 y^{2} \times y - (- 5481 y^{2} \times 1)

Any expression multiplied by 1 remains the same

203 x^{3} y - 203 x^{3} - 609 x^{2} y - (- 609 x^{2} \times 1) - 1218 x^{2} y \times y - (- 1218 x^{2} y \times 1) + 3654 x y \times y - 3654 x y \times 1 + 1827 y^{2} x y - 1827 y^{2} x \times 1 - 5481 y^{2} \times y - (- 5481 y^{2} \times 1)

Any expression multiplied by 1 remains the same

203 x^{3} y - 203 x^{3} - 609 x^{2} y - (- 609 x^{2}) - 1218 x^{2} y \times y - (- 1218 x^{2} y \times 1) + 3654 x y \times y - 3654 x y \times 1 + 1827 y^{2} x y - 1827 y^{2} x \times 1 - 5481 y^{2} \times y - (- 5481 y^{2} \times 1)

Multiply the terms

203 x^{3} y - 203 x^{3} - 609 x^{2} y - (- 609 x^{2}) - 1218 x^{2} y^{2} - (- 1218 x^{2} y \times 1) + 3654 x y \times y - 3654 x y \times 1 + 1827 y^{2} x y - 1827 y^{2} x \times 1 - 5481 y^{2} \times y - (- 5481 y^{2} \times 1)

Any expression multiplied by 1 remains the same

203 x^{3} y - 203 x^{3} - 609 x^{2} y - (- 609 x^{2}) - 1218 x^{2} y^{2} - (- 1218 x^{2} y) + 3654 x y \times y - 3654 x y \times 1 + 1827 y^{2} x y - 1827 y^{2} x \times 1 - 5481 y^{2} \times y - (- 5481 y^{2} \times 1)

Multiply the terms

203 x^{3} y - 203 x^{3} - 609 x^{2} y - (- 609 x^{2}) - 1218 x^{2} y^{2} - (- 1218 x^{2} y) + 3654 x y^{2} - 3654 x y \times 1 + 1827 y^{2} x y - 1827 y^{2} x \times 1 - 5481 y^{2} \times y - (- 5481 y^{2} \times 1)

Any expression multiplied by 1 remains the same

203 x^{3} y - 203 x^{3} - 609 x^{2} y - (- 609 x^{2}) - 1218 x^{2} y^{2} - (- 1218 x^{2} y) + 3654 x y^{2} - 3654 x y + 1827 y^{2} x y - 1827 y^{2} x \times 1 - 5481 y^{2} \times y - (- 5481 y^{2} \times 1)

Multiply the terms

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203 x^{3} y - 203 x^{3} - 609 x^{2} y - (- 609 x^{2}) - 1218 x^{2} y^{2} - (- 1218 x^{2} y) + 3654 x y^{2} - 3654 x y + 1827 y^{3} x - 1827 y^{2} x \times 1 - 5481 y^{2} \times y - (- 5481 y^{2} \times 1)

Any expression multiplied by 1 remains the same

203 x^{3} y - 203 x^{3} - 609 x^{2} y - (- 609 x^{2}) - 1218 x^{2} y^{2} - (- 1218 x^{2} y) + 3654 x y^{2} - 3654 x y + 1827 y^{3} x - 1827 y^{2} x - 5481 y^{2} \times y - (- 5481 y^{2} \times 1)

Multiply the terms

More Steps

203 x^{3} y - 203 x^{3} - 609 x^{2} y - (- 609 x^{2}) - 1218 x^{2} y^{2} - (- 1218 x^{2} y) + 3654 x y^{2} - 3654 x y + 1827 y^{3} x - 1827 y^{2} x - 5481 y^{3} - (- 5481 y^{2} \times 1)

Any expression multiplied by 1 remains the same

203 x^{3} y - 203 x^{3} - 609 x^{2} y - (- 609 x^{2}) - 1218 x^{2} y^{2} - (- 1218 x^{2} y) + 3654 x y^{2} - 3654 x y + 1827 y^{3} x - 1827 y^{2} x - 5481 y^{3} - (- 5481 y^{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

203 x^{3} y - 203 x^{3} - 609 x^{2} y + 609 x^{2} - 1218 x^{2} y^{2} + 1218 x^{2} y + 3654 x y^{2} - 3654 x y + 1827 y^{3} x - 1827 y^{2} x - 5481 y^{3} + 5481 y^{2}

Add the terms

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203 x^{3} y - 203 x^{3} + 609 x^{2} y + 609 x^{2} - 1218 x^{2} y^{2} + 3654 x y^{2} - 3654 x y + 1827 y^{3} x - 1827 y^{2} x - 5481 y^{3} + 5481 y^{2}

Solution

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203 x^{3} y - 203 x^{3} + 609 x^{2} y + 609 x^{2} - 1218 x^{2} y^{2} + 1827 x y^{2} - 3654 x y + 1827 y^{3} x - 5481 y^{3} + 5481 y^{2}

Simplify the expression