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Popular >

simplify 3x^3(2x)^2

Solution

simplify

3 x^{3} (2 x)^{2}

Solution

12 x^{5}

Solution steps

3 x^{3} (2 x)^{2}

Simplify

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

= 3 x^{3} \cdot 4 x^{2}

Multiply the numbers:

3 \cdot 4 = 12

= 12 x^{3} x^{2}

Apply exponent rule:

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

x^{3} x^{2} = x^{3 + 2}

= 12 x^{3 + 2}

Add the numbers:

3 + 2 = 5

= 12 x^{5}

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Frequently Asked Questions (FAQ)

What is 3x^3(2x)^2 ?
The solution to 3x^3(2x)^2 is 12x^5