If x y is equals to b and one by X square + 1 by y square is equals to 8 then X + y square equals to what
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Answer:
might be b(ab+2)
x
2
1
+
y
2
1
=a; xy=b
⇒(
x
1
+
y
1
)
2
=
x
2
1
+
y
2
1
+
xy
2
⇒(
x
1
+
y
1
)
2
=a+
b
2
⇒(
x
1
+
y
1
)=
xy
x+y
⇒(
x
1
+
y
1
)
2
=(
xy
x+y
)
2
⇒
(xy)
2
(x+y)
2
=a+
b
2
⇒(x+y)
2
=(a+
b
2
)(ay)
2
=(a+
b
2
)(b)
2
⇒(x+y)
2
=ab
2
+2b=b(ab+2).
Hence, the answer is b(ab+2).
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