Solve: x^2+ 12x + 20 - Vidyadip

Question

Solve:
$x^2+ 12x + 20$

✓

Answer

$x^2+ 12x + 20$
$=\text{x}^2 +12\text{x}+\Big(\frac{12}{2}\Big)^2-\Big(\frac{12}{2}\Big)^2+20$ $\Big[$Adding and subtractiong $\Big(\frac{12}{2}\Big)^2,$ that is $6^2\Big]$
$ =x^2+12 x+6^2-6^2+20 $
$ =(x+6)^2-16[\text { comleting the square }] $
$ =(x+6)^2-4^2 $
$ =[(x+6)-4][(x+6)+4] $
$ =(x+6-4)(x+6+4) $
$ =(x+2)(x+10)$

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