Question

Choose the correct simplification of the expression (7x − 3)(4x2 − 3x − 6).

28x3 − 33x2 − 33x − 18
28x3 + 33x2 − 33x + 18
28x3 − 51x2 − 33x + 18
28x3 − 33x2 − 33x + 18
a b c d

Answer 1

D. 28x^3-33x^2-33x+18 

Answer 2

Answer:

The expression (7x − 3) × (4x² − 3x − 6) is equivalent to  28x³ - 33x² - 33x + 18 .

Step-by-step explanation:

As given the expression in the question be as follow .

= (7x − 3) × (4x² − 3x − 6)

= 7x × (4x²- 3x - 6) - 3 × (4x² - 3x - 6)

Now open the bracket

= 7x × 4x² + 7x × -3x + 7x × -6 -3 × 4x² -3 × -3x - 3 × -6

= 28x³ -21x² -42x -12x² + 9x +18

= 28x³ -21x² - 12x² -42x + 9x + 18

= 28x³ - 33x² - 33x + 18

Therefore the expression (7x − 3) × (4x² − 3x − 6) is equivalent to  28x³ - 33x² - 33x + 18 .