Question 164908
(2x - 3) (4x^2 + 5x - 6)

You are multiplying a binomial by a trinomial.

Multiply one term at a time.

We start by multiplying the trinomial by 2x.

2x times 4x^2 = 8x^3

2x times 5x = 10x^2

2x times - 6 = -12x

We now do the same thing using -3.

-3 times 4x^2 = -12x^2

-3 times 5x = -15x

-3 times - 6 = 18

We now put evertything together and simplify by combining like terms.

8x^3 + 10x^2 - 12x - 12x^2 - 15x + 18

8x^3 -2x^2 - 27x + 18

That's it.

Did you follow?