Question

Simplify the expression $\frac{15x^2-27x-6}{x-2}$?

• A. $(5x+1)$
• B. $3(5x+1)$
• C. $15x^2-28x-4$
• D. $15x-35$

Answer 1

Answer: (B)

$3(5x+1)$

$\frac{15x^2-27x-6}{x-2}$

On simplifying, we get

$\Rightarrow \frac{15x^2-27x-6}{x-2}$

$\Rightarrow \frac{15x^2-30x+3x-6}{x-2}$

$\Rightarrow \frac{15x(x-2)+3(x-2)}{x-2}$

$\Rightarrow \frac{(x-2)(15x+3)}{x-2}$

$\Rightarrow 15x+3=3(5x+1)$