write the quotientandtheremainder:
(4a²-96²) by (2a+36)
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Answer:
4a² - 9b² - 2a - 3b
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write the first two terms in perfect square:
= (2a)² - (3b)² - (2a + 3b)
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Apply (a² - b²) = (a + b)(a - b):
= (2a + 3b) (2a - 3b) - (2a + 3b)
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Take out common factor (2a + 3b):
= (2a + 3b) [ (2a - 3b) - 1 ]
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Evaluate the second bracket:
= (2a + 3b)( 2a - 3b - 1)
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Answer: (2a + 3b)( 2a - 3b - 1)
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