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Byju's Answer
Standard VIII
Mathematics
Multiplication of Any Polynomial
If 3 a + 7 ...
Question
If
3
a
+
7
b
3
a
−
7
b
=
4
3
then find the value of
3
a
2
−
7
b
2
3
a
2
+
7
b
2
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Solution
3
a
+
7
b
3
a
−
7
b
=
4
3
Applying componendo and dividendo
3
a
+
7
b
+
3
a
−
7
b
3
a
+
7
b
−
3
a
+
7
b
=
4
+
3
4
−
3
Solving we get
a
b
=
49
3
So,
a
2
b
2
=
2401
9
3
a
2
7
b
2
=
343
3
Applying componendo and dividendo ,
3
a
2
+
7
b
2
3
a
2
−
7
b
2
=
343
+
3
343
−
3
=
346
340
=
173
170
So
3
a
2
−
7
b
2
3
a
2
+
7
b
2
=
170
173
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1
Similar questions
Q.
If
3
a
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=
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3
then find the value of the ratio
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Q.
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