(2a+3b)^3=
(4a-5b)^3=
Answers
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Answer:(2a−3b)
3
=(2a)
3
+(−3b)
3
+3(2a)(−3b)(2a−3b)
=8a
3
−27b
3
−18ab(2a−3b)
=8a
3
−27b
3
−36a
2
b+54ab
2
Answer
Using the identity: (a+b)
3
=a
3
+b
3
+3a
2
b+3ab
2
Therefore,
(4a+5b)
3
=(4a)
3
+(5b)
3
+(3×(4a)
2
×5b)+(3×4a×(5b)
2
)=64a
3
+125b
3
+(15b×16a
2
)+(12a×25b
2
)
=64a
3
+125b
3
+240a
2
b+300ab
2
Hence, (4a+5b)
3
=64a
3
+125b
3
+240a
2
b+300ab
2
.
Step-by-step explanation:
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