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Popular >

simplify (x)(2x)^2

Solution

simplify

(x) (2 x)^{2}

Solution

4 x^{3}

Solution steps

(x) (2 x)^{2}

Apply rule:

(a) = a

(x) = x

= x (2 x)^{2}

Simplify

(2 x)^{2} : 4 x^{2}

= x \cdot 4 x^{2}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

x x^{2} = x^{1 + 2}

= x^{1 + 2} \cdot 4

Add the numbers:

1 + 2 = 3

= x^{3} \cdot 4

= 4 x^{3}

Popular Examples

\frac{1}{11}

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\frac{23}{7} - \frac{14}{7}

Frequently Asked Questions (FAQ)

What is (x)(2x)^2 ?
The solution to (x)(2x)^2 is 4x^3