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The volume of a rectangular prism, in cubic inches, is given by the expression

x^3+3x^2-4x+7. The volume of the smaller prism is given by the expression
5x^3-6x^2-6x-17. How much great is the volume of the larger rectangular prism is than the smaller prism?

1 Answer

6 votes

Answer:

-4x³ + 9x² + 2x + 24

Explanation:

To find how much great is the volume of the larger rectangular prism than the smaller prism, we need to subtract

Volume of larger rectangular prism - Volume of smaller prism =

= x³ + 3x² - 4x + 7 - (5x³ - 6x² - 6x - 17)

To remove the parenthesis,multiply each term of the smaller prism by (-1)

= x³ + 3x²- 4x + 7 - 5x³ + 6x² + 6x + 17

= x³ -5x³ + 3x² + 6x² - 4x + 6x +7 + 17 {Combine like terms}

= -4x³ + 9x² + 2x + 24

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