Question
Factorise the following, using the identity $a^2+2 a b+b^2=(a+b)^2$
$16 x^2+40 x+25$
$16 x^2+40 x+25$
✓
Answer
$16 x^2+40 x+25$
$=(4 x)^2+2 \times 4 x \times 5+5^2$
$=(4 x+5)^2$
$=(4 x+5)(4 x+5)$
$=(4 x)^2+2 \times 4 x \times 5+5^2$
$=(4 x+5)^2$
$=(4 x+5)(4 x+5)$
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