80.5k views
19 votes
Find the volume of cube whose dimensions are (x+7y),(7x-y) and (xy-5)

User Thomasvdb
by
5.4k points

1 Answer

12 votes

Answer:

7x³y - 35x² + 35y² + 48x²y² - 240xy - 7xy³

Explanation:

Dimensions of the cube = (x+7y),(7x-y) and (xy-5)

Volume of the cube = (x+7y) (7x-y) (xy-5)

= (7x² - xy + 49xy - 7y²)(xy - 5)

= 7x³y - 35x² - x²y² + 5xy + 49x²y² - 245xy - 7xy³ + 35y²

= 7x³y - 35x² + 35y² + 49x²y² - x²y² + 5xy - 245xy - 7xy³

= 7x³y - 35x² + 35y² + 48x²y² - 240xy - 7xy³

Volume of the cube = 7x³y - 35x² + 35y² + 48x²y² - 240xy - 7xy³

User Falukky
by
5.1k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.