Factorize: 81x2 - 90 xy + 25y2
Answers
Answered by
1
Answer:
81 x² - 90xy + 25y²
Using identity :- (x-y)² = x² +y² -xy
(9x)² + (5y)² - 2×9x×5y
(9x)² +(5y) ² -90xy
Hence,
(9x -5y)² Is your answer.
Answered by
0
Answer :- Rewrite
81
x
2
as
(
9
x
)
2
.
(
9
x
)
2
+
90
x
y
+
25
y
2
Rewrite
25
y
2
as
(
5
y
)
2
.
(
9
x
)
2
+
90
x
y
+
(
5
y
)
2
Check that the middle term is two times the product of the numbers being squared in the first term and third term.
90
x
y
=
2
⋅
(
9
x
)
⋅
(
5
y
)
Rewrite the polynomial.
(
9
x
)
2
+
2
⋅
(
9
x
)
⋅
(
5
y
)
+
(
5
y
)
2
Factor using the perfect square trinomial rule
a
2
+
2
a
b
+
b
2
=
(
a
+
b
)
2
, where
a
=
9
x
and
b
=
5
y
.
(
9
x
+
5
y
)
2
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