x^2+49+14x ⇒ x^2+2× 7x+(7)^2 =(x+7)^2 #160; #160; #160; [∵ a^2+2ab+b^2=(a+b)^2] ...

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Factorisation Using Algebraic Identities

Solve x2+49+...

Question

Solve
$x^{2} + 49 + 14 x$

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Solution

$x^{2} + 49 + 14 x$
$\Rightarrow x^{2} + 2 \times 7 x + (7)^{2}$
$= (x + 7)^{2}$ $[∵ a^{2} + 2 a b + b^{2} = (a + b)^{2}]$

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