Question

ASAP plz answers just

Answer 1

Answer:

(a) $x(x+2)$  (b) $2x(x-3)$  (c) $5x(3-2x^2)$  (d) $3x^2(3+x)$

Step-by-step explanation:

For each expression, we need to factor out the GCF(Greatest common factor)

a)   $x^2+2x$

Here, the GCF is  $x$. So, we will get.....

$x^2+2x\\ \\ =x(\frac{x^2}{x}+ \frac{2x}{x}) \\ \\ =x(x+2)$

b)   $2x^2-6x$

Here, the GCF is  $2x$. So, we will get......

$2x^2-6x\\ \\ =2x(\frac{2x^2}{2x}- \frac{6x}{2x}) \\ \\ =2x(x-3)$

c)   $15x-10x^3$

Here, the GCF is  $5x$. So, we will get.......

$15x-10x^3\\ \\ =5x(\frac{15x}{5x}- \frac{10x^3}{5x}) \\ \\ =5x(3-2x^2)$

d)   $9x^2+3x^3$

Here, the GCF is  $3x^2$. So, we will get.......

$9x^2+3x^3\\ \\ =3x^2(\frac{9x^2}{3x^2}+ \frac{3x^3}{3x^2}) \\ \\ =3x^2(3+x)$