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Popular >

expand (a^2-2b)^2

Solution

expand

(a^{2} - 2 b)^{2}

Solution

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

Solution steps

(a^{2} - 2 b)^{2}

Apply Perfect Square Formula:

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

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

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

Simplify

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

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

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Frequently Asked Questions (FAQ)

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