Explain why simplifies to when .

MATHEMATICS · Subjective · CBSE · Mathematics · Vector Algebra · Vector Algebra

Problem

Explain why (a+2b)⋅(a−2b)(\mathbf{a}+2\mathbf{b})\cdot(\mathbf{a}-2\mathbf{b}) simplifies to ∣a∣2−4∣b∣2|\mathbf{a}|^{2}-4|\mathbf{b}|^{2} when a⋅b=0\mathbf{a}\cdot\mathbf{b}=0.

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