Question
Factorise the following, using the identity $a^2+ 2ab + b^2= (a + b)^2$
$9x^2+ 24x + 16$
$9x^2+ 24x + 16$
✓
Answer
$ 9 x^2+24 x+16 $
$ =(3 x)^2+2 \times 3 x \times 4+4^2 $
$ =(3 x+4)^2 $
$ =(3 x+4)(3 x+4) $
$ =(3 x)^2+2 \times 3 x \times 4+4^2 $
$ =(3 x+4)^2 $
$ =(3 x+4)(3 x+4) $
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