On
17. find the product.
(x – 3)(x + 3)(2x - 1)
ø 2x3 + 13x2 – 24x + 9
b 2x3 – 11x2 – 24x + 9
© 2x3 – x2 – 18x + 9
d 2x3 + 9
ent.

Step-by-step explanation:

C

Step-by-step explanation:

Given

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

Expand (x - 3)(x + 3) = x² - 9 ← difference of squares factors, thus

= (x² - 9)(2x - 1)

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

= x²(2x - 1) - 9(2x - 1) ← distribute both parenthesis

= 2x³ - x² - 18x + 9  → C

answer is 8x+24

area of vanessa's patio = length × width

given, length = (3x² + 5x + 10)

width = (x² - 3x - 1)

area of vanessa's patio = (3x² + 5x + 10)(x² - 3x - 1)

= 3x²(x² - 3x - 1) + 5x(x² - 3x - 1) + 10(x² - 3x - 1)

= 3x⁴ - 9x³ - 3x² + 5x³ - 15x² - 5x + 10x² - 30x - 10

= 3x⁴ - 4x³ - 8x² - 35x - 10

hence, expression of vanessa's patio = (3x⁴ - 4x³ - 8x² - 35x - 10)