4a² - 49b² + 2a -7b
factorise it
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ANSWER:
To Factorize:
- 4a² - 49b² + 2a - 7b
Solution:
We are given that,
⟹ 4a² - 49b² + 2a - 7b
So,
⟹ (2a)² - (7b)² + 2a - 7b
We know that,
⟹ x² - y² = (x - y)(x + y)
Hence,
⟹ (2a)² - (7b)² + 2a - 7b
⟹ (2a - 7b)(2a + 7b) + (2a - 7b)
Taking (2a - 7b) common,
⟹ (2a - 7b)(2a + 7b) + (2a - 7b)
⟹ (2a - 7b)(2a + 7b + 1)
Therefore,
⟹ 4a² - 49b² + 2a - 7b = (2a - 7b)(2a + 7b + 1)
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