if 2x+3y=8 XY=2 then find the value of (2x-3y)³
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Explanation:
Correct option is
A
40
Given
2x+3y=8 and xy=2,
formula,
(a+b)
2
=a
2
+b
2
+2ab
∴(2x+3y)
2
=4x
2
+9y
2
+2(2x)(3y)
(2x+3y)
2
=4x
2
+9y
2
+12xy
8
2
=4x
2
+9y
2
+12(2)
∴4x
2
+9y
2
=64−24=40
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