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X²+2xy+y²=144, (x+y)³?​

2 Answers

12 votes

Answer:

(x+y)³=1728

Explanation:

(x+y)²=144=12²

(x+y)³=12*12*12=1728

User Dennis Anikin
by
4.3k points
5 votes

Answer:

The value of (x + y)³ is 1728.

Explanation:

First, you have to find the value of x + y :

x² + 2xy + y² = 144

x² + xy + xy + y² = 144

x(x + y) + y(x + y) = 144

(x + y)(x + y) = 144

(x + y)² = 144

x + y = √144

x + y = 12

Next, the value of (x + y)³ :

(x + y) = 12³ = 1728

User Jim Ovejera
by
2.9k points