Question

Multiply.
(2x2 – 3x)(3x2 + 2x - 1)

Answer 1

`-6x^(2)` –7x + 20

Explanation:

(2x2 – 3x)(3x2 + 2x – 1)

(4 – 3x)(2x + 5)

(4*2x) + (4*5) + (–3x*2x) + (–3x*5)

8x + 20
`-6x^(2)` –15x

`-6x^(2)` –7x + 20

Answer 2

The solution to the multiplication of the algebraic expression is:

6x⁴ - 5x³ - 8x² + 3x

How to multiply the algebraic expression?

We are given the algebraic multiplication expression as:

(2x² – 3x)(3x² + 2x - 1)

The distributive property in mathematics states that multiplying the sum of two or more numbers is the same as multiplying each addend separately and then adding the products. It is often expressed as:

a(b + c) = ab + ac

Using distributive property, we have:

2x²(3x² + 2x - 1) - 3x(3x² + 2x - 1))

= 6x⁴ + 4x³ - 2x² - 9x³ - 6x² + 3x

= 6x⁴ - 5x³ - 8x² + 3x