Solve (2a-b)^2 - 4(a-2b)^2

Evaluate

(2 a - b)^{2} - 4 (a - 2 b)^{2}

Expand the expression

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

Expand the expression

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4 a^{2} - 4 ab + b^{2} - 4 a^{2} + 16 ab - 16 b^{2}

The sum of two opposites equals 0

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0 - 4 ab + b^{2} + 16 ab - 16 b^{2}

Remove 0

- 4 ab + b^{2} + 16 ab - 16 b^{2}

Add the terms

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12 ab + b^{2} - 16 b^{2}

Solution

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12 ab - 15 b^{2}

Simplify the expression