3 o. If 2x+3y=8 and xy=2, then 2 find the value of: (2x-3y)?
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Answer:
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
Step-by-step explanation:
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