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Popular >

expand (-a+2b)^2

Solution

expand

(- a + 2 b)^{2}

Solution

a^{2} - 4 ab + 4 b^{2}

Solution steps

(- a + 2 b)^{2}

Apply Perfect Square Formula:

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

(- a + 2 b)^{2} = (- a)^{2} + 2 (- a) \cdot 2 b + (2 b)^{2}

= (- a)^{2} + 2 (- a) \cdot 2 b + (2 b)^{2}

Simplify

(- a)^{2} + 2 (- a) \cdot 2 b + (2 b)^{2} : a^{2} - 4 ab + 4 b^{2}

= a^{2} - 4 ab + 4 b^{2}

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Frequently Asked Questions (FAQ)

What is expand (-a+2b)^2 ?
The solution to expand (-a+2b)^2 is a^2-4ab+4b^2