How do you factor the expression $25x^2+70x+49$ ?

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Answer 1 · 2018-07-10T03:41:05

$25x^2+70x+49 = (5x+7)^2$

Given:

$25x^2+70x+49$

Note that:

So the given expression is a perfect square trinomial, matching:

$A^2+2AB+B^2 = (A+B)^2$

with $A=5x$ and $B=7$ :

$25x^2+70x+49 = (5x)^2+2(5x)(7)+7^2 = (5x+7)^2$

Answer 2 · 2018-07-10T12:20:26

$(5x+7)^2$

$25x^2+70x+40$

= $(5x)^2+2*5x*7+7^2$

= $(5x+7)^2$

How do you factor the expression 25x^2+70x+4925x^2+70x+49?