Question

What is the product?

(7x²)(2x + 5)(x² - 4x-9)
14x5 – x4 - 46x3 - 58x2 – 20x-45
14x6 – 56x5 – 91x4 - 140x2 - 315x2
14x? - 56x6 – 126x + 35x4 – 140X2-315x2
14x12 – 182x® + 35x4 – 455x2

Answer 1

To find the product of the given expression (7x²)(2x + 5)(x² - 4x-9), we can use the distributive property to multiply each term.

Step-by-step explanation:

To find the product of the given expression (7x²)(2x + 5)(x² - 4x-9), we can use the distributive property to multiply each term.

First, multiply (2x + 5) with (x² - 4x-9) using the distributive property.
(2x + 5)(x² - 4x-9) = 2x*(x² - 4x-9) + 5*(x² - 4x-9)
= 2x³ - 8x² - 18x + 5x² - 20x-45
= 2x³ - 3x² - 38x - 45

Answer 2

14 x^5 - 21 x^4 - 266 x^3 - 315 x^2

Step-by-step explanation:

Expand the following:

7 x^2 (2 x + 5) (x^2 - 4 x - 9)

| | | | 2 x | + | 5

| | x^2 | - | 4 x | - | 9

| | | | -18 x | - | 45

| | -8 x^2 | - | 20 x | + | 0

2 x^3 | + | 5 x^2 | + | 0 | + | 0

2 x^3 | - | 3 x^2 | - | 38 x | - | 45:

7 x^2 2 x^3 - 3 x^2 - 38 x - 45

7 x^2 (2 x^3 - 3 x^2 - 38 x - 45) = 7 x^2 (2 x^3) + 7 x^2 (-3 x^2) + 7 x^2 (-38 x) + 7 x^2 (-45):

7 2 x^2 x^3 - 3 7 x^2 x^2 - 38 7 x^2 x - 45 7 x^2

7 (-45) = -315:

7 2 x^2 x^3 - 3 7 x^2 x^2 - 38 7 x^2 x + -315 x^2

7 x^2 (-38) x = 7 x^(2 + 1) (-38):

7 2 x^2 x^3 - 3 7 x^2 x^2 + -38×7 x^(2 + 1) - 315 x^2

2 + 1 = 3:

7 2 x^2 x^3 - 3 7 x^2 x^2 - 38 7 x^3 - 315 x^2

7 (-38) = -266:

7 2 x^2 x^3 - 3 7 x^2 x^2 + -266 x^3 - 315 x^2

7 x^2 (-3) x^2 = 7 x^4 (-3):

7 2 x^2 x^3 + -3×7 x^4 - 266 x^3 - 315 x^2

7 (-3) = -21:

7 2 x^2 x^3 + -21 x^4 - 266 x^3 - 315 x^2

7 x^2×2 x^3 = 7 x^(2 + 3)×2:

7×2 x^(2 + 3) - 21 x^4 - 266 x^3 - 315 x^2

2 + 3 = 5:

7 2 x^5 - 21 x^4 - 266 x^3 - 315 x^2

7×2 = 14:

Answer: 14 x^5 - 21 x^4 - 266 x^3 - 315 x^2