How do you factor completely: $16x^2 + 40x + 25$ ?

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Answer 1 · 2015-07-24T01:10:30

This is recognisable as a perfect square trinomial:

$16x^2+40x+25 = (4x+5)^2$

Perfect square trinomials are of the form:

$a^2+2ab+b^2 = (a+b)^2$

In our case $a=4x$ and $b=5$ ...

$16x^2+40x+25$

$=(4x)^2+(2*(4x)*5)+5^2$

$=(4x+5)^2$

How do you factor completely: 16x^2 + 40x + 2516x^2 + 40x + 25?