“Two friends together contributed some amount in the form of x2+18x+81. They have contributed their individual amount to the orphanage unequally”. Analyse the amount contributed by each.
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1
Answer:
As
81
is the square of
9
and middle term
18
is double of this number, (compare it with
(
x
+
a
)
2
=
x
2
+
2
a
x
+
a
2
)
Hence
x
2
+
18
x
+
81
is a complete square.
x
2
+
18
x
+
81
=
x
2
+
2
×
9
×
x
+
9
2
=
(
x
+
9
)
2
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