Question

Find the product of (3-2x)(2x+1)(x-5)

Answer 1

the product of (3-2x)(2x+1)(x-5) is -4x^3 + 26x^2 - 19x - 75.

Explanation:

To find the product, we need to multiply these three expressions:

(3 - 2x)(2x + 1)(x - 5)

Let's start by multiplying the first two expressions using the distributive property:

(3 - 2x)(2x + 1) = 6x - 4x^2 + 3 - 2x

Now we can multiply this result by the third expression using the distributive property again:

(6x - 4x^2 + 3 - 2x)(x - 5) = 6x^2 - 34x + 15x - 75 - 4x^3 + 20x^2

Simplifying this expression by combining like terms, we get:

-4x^3 + 26x^2 - 19x - 75

Therefore, the product of (3-2x)(2x+1)(x-5) is -4x^3 + 26x^2 - 19x - 75.