Question

Multiply and simplify.

Answer 1

Expand the following:
(2 x - 3) (x^2 + 4 x - 6)

 | | | | 2 x | - | 3
 | | x^2 | + | 4 x | - | 6
 | | | | -12 x | + | 18
 | | 8 x^2 | - | 12 x | + | 0
2 x^3 | - | 3 x^2 | + | 0 | + | 0
2 x^3 | + | 5 x^2 | - | 24 x | + | 18:

Answer: 2 x^3 + 5 x^2 - 24 x + 18

Answer 2

Hello there!

(2x - 3)(x² + 4x - 6)

Start by using the distributive property

=(2x)(x²) + (2x)(4x) + (2x)(-6) + (-3)(x²) + (-3)(4x) + (-3)(-6)

= 2x³ + 8x² - 12x - 3x² - 12x + 18

= 2x³ + 5x² - 24x + 18


As always, it is my pleasure to help students like you!