Factorise:
49a² + 84ab + 36b²

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Solution

We have:
$49 a^{2} + 84 a b + 36 b^{2} = {(7 a)}^{2} + 2 \times 7 a \times 6 b + {(6 b)}^{2}$
$= {(7 a + 6 b)}^{2}$

∴ $49 a^{2} + 84 a b + 36 b^{2} = {(7 a + 6 b)}^{2}$

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Similar questions

Factorise:
$49 a^{2} + 84 a b + 36 b^{2}$

49 a^{2} - 64 b^{2}

{64 a}^{2} + 96 b + {36 b}^{2}

a^{2} - 5 a b - 36 b^{2}

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