Question

Find the product of (4x − 3)(2x2 − 7x + 1).

8x3 − 22x2 + 17x− 3
8x3 + 8x2 + 4x − 3
8x3 − 34x2 + 25x − 3
8x3 − 42x2 + 25x − 3

Answer 1

8x³ - 34x² + 25x - 3

Explanation:

Each term in the second factor is multiplied by each term in the first factor, that is

4x(2x² - 7x + 1) - 3(2x² - 7x + 1) ← distribute both parenthesis

8x³ - 28x² + 4x - 6x² + 21x - 3 ← collect like terms

= 8x³ - 34x² + 25x - 3

Answer 2

The answer is 8x³ - 34x + 25x - 3

Explanation:

(4x − 3)(2x2 − 7x + 1)

8x³ - 28x² + 4x - 6x² + 21x - 3

Collect like terms

= 8x³ - 28x² - 6x² + 4x + 21x - 3

= 8x³ - 34x + 25x - 3

The answer is 8x³ - 34x + 25x - 3