Question

Which expression is equivalent to this expression? x(2x+3) Question 1 options: 2x2+3 2x2+3x 2x2−3x 3x + 3

Answer 1

Answer:

$2x^2+3x$ is the expression which is equivalent to  $x\left(2x+3\right)$.

In other words:

$x\left(2x+3\right)=2x^2+3x$

Step-by-step explanation:

Given the expression

$x\left(2x+3\right)$

solving

$x\left(2x+3\right)$

$\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b+c\right)=ab+ac$

$a=x,\:b=2x,\:c=3$

$=x\cdot \:2x+x\cdot \:3$

$=2xx+3x$

$=2x^2+3x$            ∴  $2xx=2x^2$

Thus,

$x\left(2x+3\right)=2x^2+3x$

Therefore, $2x^2+3x$ is the expression which is equivalent to  $x\left(2x+3\right)$.