Question

expand (x+5)² please answer fast
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Answer 1

(x+5)

2 is a sum of squares,

(a+b)2=a2+2ab+b2, where

a=x

and

b=5

Expand.

(x+5)2

=x2+2

(x)(5)+52

Simplify.

(x+5)=x2+10x+25

(x+5)2

=(x+5)(x+5)

(x+5)(x+5)

=x⋅x+x⋅5+5

x+5⋅5

Simplify.

(x+5)(x+5)

=x2+5x+5x+25

Simplify.

(x+5)(x+5)

=x2+10x+25

Answer 2

Answer:

Step-by-step explanation:

$(x+5)^{2}$

∴ $[( a+b)^{2} = a^{2} + b^{2}+2ab ]$

$= x^{2} + 5^{2} +2$ × $x$ × $5$

$= x^{2} +25 +10x$

$= x^{2} +10x+25$

$=x^{2} +(5+5)x+25$

$=x^{2} +5x+5x+25$

$= x(x+5)+5(x+5)$

$= (x+5)(x+5)$

$x=-5$