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Question Number 27761 by shiv15031973@gmail.com last updated on 14/Jan/18

$$4{(2\mathrm{a}+\mathrm{b})}^2-{(\mathrm{a}-\mathrm{b})}^2$$

Answered by Rasheed.Sindhi last updated on 14/Jan/18

$$4{(2\mathrm{a}+\mathrm{b})}^2-{(\mathrm{a}-\mathrm{b})}^2$$$$=4({4\mathrm{a}}^2+4\mathrm{ab}+{\mathrm{b}}^2)-({\mathrm{a}}^2-2\mathrm{ab}+{\mathrm{b}}^2)$$$$={16\mathrm{a}}^2+16\mathrm{ab}+{4\mathrm{b}}^2-{\mathrm{a}}^2+2\mathrm{ab}-{\mathrm{b}}^2$$$$={15\mathrm{a}}^2+17\mathrm{ab}+{3\mathrm{b}}^2$$

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