Answer:
Step-by-step explanation:
Use FOIL method.First multiply (5x + 1) and (3x - 4). Then multiply (15x² - 17x - 4) by (x +2)
Volume of the rectangular prism = length *width * height
= (5x + 1) (3x -4)(x +2)
= [ 5x*3x + 5x*(-4) + 1*3x + 1*(-4) ] (x + 2)
= [15x² <u>- 20x + 3x</u> - 4] (x +2) {Combine like terms}
= [15x² - 17x - 4] (x + 2)
=[15x² -17x - 4]*(x) + [15x² - 17x -4]*2
= [15x²*x - 17x*x - 4*x ]+ 15x²*2 - 17x *2 - 4*2
= 15x³ - 17x² - 4x + 30x² - 34x - 8
= 15x³ <u>- 17x² + 30x²</u> <u>- 4x - 34x </u>- 8 {Combine like terms}
= 15x³ + 13x² - 38x - 8
