Register
If x + y = 12 and xy = 27, find the value of x^3+y^3
124k views
5 votes
If x + y = 12 and xy = 27, find the value of x^3+y^3

User Rebeling
by
8.1k points

1 Answer

5 votes

Answer:

756

Explanation:

Using the algebraic identity

a³ + b³ = (a + b)³ - 3ab(a + b)

Thus

x³ + y³ = (x + y)³ - 3xy(x + y) ← substitute given values

= 12³ - 3(27)(12)

= 1728 - 972

= 756

User Stefan Nuxoll
by
7.4k points
Ask a Question
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

8.6m questions

11.2m answers

Other Questions

What is .725 as a fraction
How do you estimate of 4 5/8 X 1/3
A bathtub is being filled with water. After 3 minutes 4/5 of the tub is full. Assuming the rate is constant, how much longer will it take to fill the tub?
i have a field 60m long and 110 wide going to be paved i ordered 660000000cm cubed of cement  how thick must the cement be to cover field
Write words to match the expression. 24- ( 6+3)
Link Copied!