Question

What is the product?
(3x-6)(2x2 -7x+1)

Answer 1

15x - 21x² + 12

Explanation:

(3x - 6)(2 X 2 - 7x + 1) = (3x - 6)(4 - 7x + 1)

= (3x - 6)(5 - 7x)

= (3x X 5) + (3x X -7x) + (-6 X 5) + (-6 X -7)

= 15x - 21x² - 30 + 42

= 15x - 21x² + 12

Answer 2

(3x-6)(2x² -7x+1)

= 6x³ - 33x² + 45x - 6

Explanation:

(3x-6)(2x² -7x+1)

To find the product of this we will expand the equation by multiplying each element in one bracket with the other bracket.

(3x-6)(2x² -7x+1)

Expand

(3x)(2x² - 7x + 1) (-6)(2x² - 7x + 1)

Opening the bracket (multiple)

6x³ - 21x² + 3x - 12x² + 42x - 6

Collect like terms

= 6x³ - 21x² - 12x² + 3x + 42x - 6

= 6x³ - 33x² + 45x - 6