Given that x - y= 12 and xy = 13, find the value of (x+ y)2
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X -Y = 12 and xy =13
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Step-by-step explanation:
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If xy = 12 and x + y = 3, then value of x2 + y2 to find out
x + y = 3
Squaring both sides of equation
(x + y)² = (3)²
We know that in algebra (x + y)² = x² + y² + 2xy
Thus (x + y)² can be written as above
x² + y² + 2xy = 9
The value of xy = 12 is given in the statement, being substituted
x² + y² + 2 (12) = 9
x² + y² + 24 = 9
x² + y² = 9 - 24
x² + y² = - 15
The value of x² + y² is - 15
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