Solve (x^2 11x)^2 28(x^2 11x)

Question

Simplify the expression

37268 x^{9}

Evaluate

(x^{2} \times 11 x)^{2} \times 28 (x^{2} \times 11 x)

Remove the parentheses

(x^{2} \times 11 x)^{2} \times 28 x^{2} \times 11 x

Multiply

More Steps

Multiply the terms

x^{2} \times 11 x

Multiply the terms with the same base by adding their exponents

x^{2 + 1} \times 11

Add the numbers

x^{3} \times 11

Use the commutative property to reorder the terms

11 x^{3}

(11 x^{3})^{2} \times 28 x^{2} \times 11 x

Multiply the terms

(11 x^{3})^{2} \times 308 x^{2} \times x

Multiply the terms with the same base by adding their exponents

(11 x^{3})^{2} \times 308 x^{2 + 1}

Add the numbers

(11 x^{3})^{2} \times 308 x^{3}

Multiply the terms

More Steps

Evaluate

(11 x^{3})^{2} \times 308

Rewrite the expression

121 x^{6} \times 308

Multiply the numbers

37268 x^{6}

37268 x^{6} \times x^{3}

Solution

More Steps

Evaluate

x^{6} \times x^{3}

Use the product rule a^{n} \times a^{m} = a^{n + m} to simplify the expression

x^{6 + 3}

Add the numbers

x^{9}

37268 x^{9}

Show Solution

Find the roots

x = 0

Evaluate

(x^{2} \times 11 x)^{2} \times 28 (x^{2} \times 11 x)

To find the roots of the expression,set the expression equal to 0

(x^{2} \times 11 x)^{2} \times 28 (x^{2} \times 11 x) = 0

Multiply

More Steps

Multiply the terms

x^{2} \times 11 x

Multiply the terms with the same base by adding their exponents

x^{2 + 1} \times 11

Add the numbers

x^{3} \times 11

Use the commutative property to reorder the terms

11 x^{3}

(11 x^{3})^{2} \times 28 (x^{2} \times 11 x) = 0

Multiply

More Steps

Multiply the terms

x^{2} \times 11 x

Multiply the terms with the same base by adding their exponents

x^{2 + 1} \times 11

Add the numbers

x^{3} \times 11

Use the commutative property to reorder the terms

11 x^{3}

(11 x^{3})^{2} \times 28 \times 11 x^{3} = 0

Multiply

More Steps

Multiply the terms

(11 x^{3})^{2} \times 28 \times 11 x^{3}

Multiply the terms

(11 x^{3})^{2} \times 308 x^{3}

Multiply the terms

More Steps

Evaluate

(11 x^{3})^{2} \times 308

Rewrite the expression

121 x^{6} \times 308

Multiply the numbers

37268 x^{6}

37268 x^{6} \times x^{3}

Multiply the terms

More Steps

Evaluate

x^{6} \times x^{3}

Use the product rule a^{n} \times a^{m} = a^{n + m} to simplify the expression

x^{6 + 3}

Add the numbers

x^{9}

37268 x^{9}

37268 x^{9} = 0

Rewrite the expression

x^{9} = 0

Solution

x = 0

Show Solution