Question

Simplify: $(x^2+10x+25)÷(x+5)$

• A. $x^2+25$
• B. $x+5$
• C. $\frac{1}{x+5}$
• D. $x+10$

Answer 1

Answer: (B)

$x+5$

$\frac{x^2+10x+25}{x+5}$

$=\frac{[{\left(x\right)}^2+2\left(x\right)\left(5\right)+{\left(5\right)}^2]}{x+5}$

$=\frac{{(x+5)}^2}{x+5}$ ...$[\because {(a+b)}^2=a^2+2ab+b^2]$

$=x+5$