Expand (3a+4b)³
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2
Step-by-step explanation:
(A) The given statement is:]
(3a+4b)^3(3a+4b)
3
Using the identity (a+b)^3=a^3+b^3+3a^2b+3ab^2(a+b)
3
=a
3
+b
3
+3a
2
b+3ab
2
, we have
=(3a)^3+(4b)^3+3(3a)^2(4b)+3(3a)(4b)^2(3a)
3
+(4b)
3
+3(3a)
2
(4b)+3(3a)(4b)
2
=27a^3+64b^3+108a^2b+144ab^227a
3
+64b
3
+108a
2
b+144ab
2
which is the required expanded form.
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