Factorize: 64a² - 9b² + 42bc -49c²
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1
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Answer:
(ii)64a
2
−9b
2
+42bc−49c
2
=64a
2
−[9b
2
−42bc+49c
2
]
=(8a)
2
−[(3b)
2
−2×3b×7c+(7c)
2
][∵a
2
+b
2
−2ab=(a−b)
2
anda
2
−b
2
=(a+b)(a−b)]
=(8a)
2
−(3b−7c)
2
=(8a+3b−7c)(8a−3b+7c)
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