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Factorisation Using Algebraic Identities

iv Factorise ...

Question

Question 1(iv)
Factorise the following expressions
$49 y^{2} + 84 y z + 36 z^{2}$

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Solution

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

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