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Byju's Answer
Standard IX
Mathematics
Linear Equation in 2 Variables
Find the prod...
Question
Find the product:
(
2
x
−
3
y
)
(
2
x
+
3
y
)
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Solution
Given:
(
2
x
−
3
y
)
(
2
x
+
3
y
)
Multiply term wise:
=
2
x
(
2
x
+
3
y
)
−
3
y
(
2
x
+
3
y
)
=
4
x
2
+
6
x
y
−
6
x
y
−
9
y
2
=
4
x
2
−
9
y
2
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0
Similar questions
Q.
Find the product of
(
2
x
−
y
)
(
2
x
+
y
)
(
4
x
2
+
y
2
)
Q.
Find the product of the following binomials:
(i) (2x + y)(2x + y)
(ii) (a + 2b)(a − 2b)
(iii) (a
2
+ bc)(a
2
− bc)
(iv)
4
x
5
-
3
y
4
4
x
5
+
3
y
4
(v)
2
x
+
3
y
2
x
-
3
y
(vi) (2a
3
+ b
3
)(2a
3
− b
3
)
(vii)
x
4
+
2
x
2
x
4
-
2
x
2
(viii)
x
3
+
1
x
3
x
3
-
1
x
3
Q.
Evaluate
(
2
x
+
y
)
(
2
x
+
y
)
Q.
Find the missing value to proof the identity:
(
2
x
+
y
)
(
2
x
−
y
)
=
(
2
x
)
2
−
y
2
.
Q.
State whether True or False.
Factorization of
(
2
x
−
y
)
3
−
(
2
x
−
y
)
is
(
2
x
−
y
)
(
2
x
−
y
+
1
)
(
2
x
−
y
−
1
)
.
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