Question

6. Which expression equals 18x^2-3x-3? (a) (3x+1)(2x-1). (b) 3(3x - 1)(2x + 1)
(c) 3(3x + 1)(2x - 1)
(d) 3(3x - 1)(2x - 1)​

Answer 1

Answer:

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

Step-by-step explanation:

18x^2-3x-3=0

18x^2-9x+6x-3=0

9x(2x-1)+3(2x-1)=0

(2x-1)(9x+3)=0

3(3x+1)(2x-1)=0

Answer 2

Answer:

182−3−3

18x^{2}-3x-318x2−3x−3

Grouping

1

Common factor

182−3−3

3(62−−1)

2

Use the sum-product pattern

3(62−−1)

3(62+2−3−1)

3

Common factor from the two pairs

3(62+2−3−1)

3(2(3+1)−1(3+1))

4

Rewrite in factored form

3(2(3+1)−1(3+1))

3(2−1)(3+1)

Solution

3(2−1)(3+1)