Question

if x+y=6, x-y=4 find x2+y2
(using expansion formulae)​

Answer 1

Answer:

hello x + y= 6 (equation 1)

x - y = 4 (equation 2)

Squaring and adding both the equations,

(x + y)² + (x - y)² = 6² + 4²

=> x² + y² + 2xy + x² + y² - 2xy = 52

=> 2(x²+y²) = 52

=> x²+y²=26

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

Given,

x + y= 6 (equation 1)

x - y = 4 (equation 2)

Squaring and adding both the equations,

(x + y)² + (x - y)² = 6² + 4²

=> x² + y² + 2xy + x² + y² - 2xy = 52

=> 2(x²+y²) = 52

=> x²+y²=26