3.0k views
0 votes
Find the value of x^3+y^3+15xy-125 if x+y=5

1 Answer

4 votes

Answer:

0

Explanation:

x+y=5

x^3+y^3+15xy-125

(x+y)(x^2-xy+y^2)+15xy-125

5(x^2-xy+y^2)+15xy-125

5x^2+5y^2-5xy+15xy-125

5x^2+5y^2+10xy-125

5[x^2+2xy+y^2]-125

5(x+y)^2-125

5(5)^2-125

125-125

0

User Lop Hu
by
5.7k points