xpand the following: (2/5a^2-5/2b^2)^2
Answers
Answered by
1
Answer:
The given expression (4a−2b−3c)
2
can be solved as shown below:
(4a−2b−3c)
2
=(4a)
2
+(−2b)
2
+(−3c)
2
+(2×4a×(−2b))+(2×(−2b)×(−3c))+(2×(−3c)×4a)
(∵(a+b+c)
2
=a
2
+b
2
+c
2
+2ab+2bc+2ca)
=16a
2
+4b
2
+9c
2
−16ab+12bc−24ca
Hence, (4a−2b−3c)
2
=16a
2
+4b
2
+9c
2
−16ab+12bc−24ca.
Step-by-step explanation:
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Answered by
11
Answer:
The given expression (4a−2b−3c)
2
can be solved as shown below:
(4a−2b−3c)
2
=(4a)
2
+(−2b)
2
+(−3c)
2
+(2×4a×(−2b))+(2×(−2b)×(−3c))+(2×(−3c)×4a)
(∵(a+b+c)
2
=a
2
+b
2
+c
2
+2ab+2bc+2ca)
=16a
2
+4b
2
+9c
2
−16ab+12bc−24ca
Hence, (4a−2b−3c)
2
=16a
2
+4b
2
+9c
2
−16ab+12bc−24ca.
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