Question

Choose the correct simplification of (5x − 6)(2x2 − 3x − 6).

A. 10x3 − 27x2 − 12x + 36
B.10x3 + 27x2 + 12x + 36
C.10x3 + 27x2 − 12x + 36
D. 10x3 − 27x2 + 12x + 36

Answer 1

A is your answer

Explanation:

Answer 2

`(5x - 6)(2x^2 -3x - 6)`

Use FOIL to help expand the expressions

First
Outer
Inner
Last

When we foil out the expression we get:


`5x*2x^2+(5x)(-3x)+(5x)(-6)+(-6)(2x^2)+(-6)(-3x)+(-6)(-6)`

Now start multiplying the expression to get:

`10x^3-15x^2-30x-12x^2+18x+36`

Combine like terms; Final answer:

`10x^3-27x^2-12x+36`

so A