Factorise:

Question:

Factorise:
49a2 + 84ab + 36b2

Solution:

We have:

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

$=(7 a+6 b)^{2}$

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

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