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Popular >

simplify (2x^2)(2(x+y)^2)

Solution

simplify

(2 x^{2}) (2 (x + y)^{2})

Solution

4 x^{2} (x + y)^{2}

Solution steps

(2 x^{2}) (2 (x + y)^{2})

Apply exponent rule:

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

2 \cdot 2 = 2^{1 + 1}

= x^{2} \cdot 2^{1 + 1} (x + y)^{2}

Add the numbers:

1 + 1 = 2

= x^{2} \cdot 2^{2} (x + y)^{2}

2^{2} = 4

= 4 x^{2} (x + y)^{2}

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Frequently Asked Questions (FAQ)

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