Question

$x^2+10x+25=$

• A. $(x+5{)}^2$
• B. $(x-5{)}^2$
• C. $(x+5)(x-5)$
• D. $(x+5)(x+2)$

Answer 1

The correct option is A $(x+5{)}^2$

In $x^2+10x+25,10x$ can be written as $5x+5x$ as their product is $25x^2$.
We get,
$x^2+5x+5x+25$
$=x(x+5)+5(x+5)$
$=(x+5)(x+5)$
$=(x+5{)}^2$