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Popular >

expand (w+2v)^2

Solution

expand

(w + 2 v)^{2}

Solution

w^{2} + 4 v w + 4 v^{2}

Solution steps

(w + 2 v)^{2}

Apply Perfect Square Formula:

(a + b)^{2} = a^{2} + 2 ab + b^{2}

(w + 2 v)^{2} = w^{2} + 2 w \cdot 2 v + (2 v)^{2}

= w^{2} + 2 w \cdot 2 v + (2 v)^{2}

Simplify

w^{2} + 2 w \cdot 2 v + (2 v)^{2} : w^{2} + 4 v w + 4 v^{2}

= w^{2} + 4 v w + 4 v^{2}

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Frequently Asked Questions (FAQ)

What is expand (w+2v)^2 ?
The solution to expand (w+2v)^2 is w^2+4vw+4v^2