Question
Download Solution PDFSimplify the given expression.
(a - 2b) (b - 3a) + (a + b) (a - 3b) - (b - 3a) (4a-5b)
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
(a - 2b) (b - 3a) + (a + b) (a - 3b) - (b - 3a) (4a-5b)
Calculation:
(a - 2b) (b - 3a) + (a + b) (a - 3b) - (b - 3a) (4a-5b)
⇒ ab - 3a2 - 2b2 + 6ab + a2 - 3ab + ab - 3b2 - 4ab + 5b2 + 12a2 - 15ab
⇒ - 3a2 + a2 + 12a2 - 2b2 - 3b2 + 5b2 + 6ab + ab - 3ab + ab - 4ab -15ab
⇒ 13a2 - 3a2 + 5b2 - 5b2 + 8ab - 22ab
⇒ 10a2 - 14ab
∴ The answer is 10a2 - 14ab
Last updated on Jun 13, 2025
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