solve.9a2−30a+24−8b−16b2
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Answer:
(3a + 4b - 4) (3a - 4b - 6)
Step-by-step explanation:
9a² - 30a + 24 - 8b - 16b²
= 9a² - 30a + (25 - 1) - 8b - 16b²
= 9a² - 30a + 25 - 16b² - 8b - 1
= 9a² - 30a + 25 - (16b² + 8b + 1)
= (3a)² - 2.3a.5 + 5² - {(4b)² + 2.4b.1 + 1²}
= (3a - 5)² - (4b + 1)²
= {(3a - 5) + (4b + 1)} {(3a - 5) - (4b + 1)}
= (3a - 5 + 4b + 1) (3a - 5 - 4b - 1)
= (3a + 4b - 4) (3a - 4b - 6)
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