If x+y=-1 and xy =-12, find the value of
(a) (x+1)(y+1) ,
(b) x² + y² ,
(c) (x-y)² .
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Answer:
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Step-by-step explanation:
According to Question,
Given - x + y = -1, xy = -12
(a) (x + 1)(y + 1) = xy + y + x + 1
= (-12) + (-1) + 1
= -12 - 1 + 1
= -12
(b) x² + y² = (x + y)²
= (-1)²
= 1
(c) (x - y)² = x² - 2xy + y²
= -2(-12) + (x + y)²
= 24 - 1
= 23
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