Question

x²+49+14x, Factorize the given equation.

Answer 1

x^2+49+14x
= x^2+14x+49
=x^2+7x+7x+49
=x(x+7)+7(x+7)
=(x+7)(x+7)

Answer 2

rearranging ->
$x { }^{2} + 14x + 49$
splitting the middle term into :
7x and 7x
therefore , x2 + 7x + 7x + 49
grouping and taking the common term out
->x(x+7)+7(x+7)
->(x+7)(x+7).
answer is (x+7)(x+7).