1 using identities , find the following products .
(2a+7b)²
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Answered by
1
Answer:
Using the identity is (x−y)
2
=x
2
+y
2
−2xy.
Consider (4a−7b)
2
−(3a)
2
we apply the above identity as follows:
(4a−7b)
2
−(3a)
2
=[(4a)
2
+(7b)
2
−(2×4a×7b)]−9a
2
=16a
2
+49b
2
−56ab−9a
2
=7a
2
+49b
2
−56ab
=7(a
2
+7b
2
−8ab)
Hence, (4a−7b)
2
−(3a)
2
=7(a
2
+7b
2
−8ab).
Step-by-step explanation:
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4
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