Question

ASAP plz answers just

Answer 1

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

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((x^2)/(x)+ (2x)/(x)) \\ \\ =x(x+2)`

b)
`2x^2-6x`

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

`2x^2-6x\\ \\ =2x((2x^2)/(2x)- (6x)/(2x)) \\ \\ =2x(x-3)`

c)
`15x-10x^3`

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

`15x-10x^3\\ \\ =5x((15x)/(5x)- (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((9x^2)/(3x^2)+ (3x^3)/(3x^2)) \\ \\ =3x^2(3+x)`