Question

Find the product of the binomials. Simplify your answer.
(4-5x) (1-2x) (3x + 2) =

Answer 1

The product of the given binomials is 25x^2 + 12x - 8.

Step-by-step explanation:

To find the product of the given binomials, we can use the distributive property. We multiply each term from the first binomial by each term from the second and third binomials. After simplifying the resulting expression, we combine like terms.

So, the product is:

(4-5x) (1-2x) (3x + 2) = 4(1)(3x) + 4(1)(2) - 5x(1)(3x) - 5x(1)(2x) - 5x(-2x) + (-5x)(2)

Simplifying further, we get:

(4-5x) (1-2x) (3x + 2) = 12x - 8 + 15x^2 - 10x^2 + 10x^2 - 10x

Combining like terms:

(4-5x) (1-2x) (3x + 2) = 25x^2 + 12x - 8

Learn more about Multiplying Binomials