Q25. (A)simplify: (a+b) (2a-3b+c)-(2a-
3b)c (B)subtract: 3a(a+b+c)-2b(a-b+c)
from 4c(-a+b+c)
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Answer:
Step-by-step explanation:
(A)(a+b)(2a-3b+c)-(2a-3b)c
a(2a-3b+c) +b(2a-3b+c) -[ 2a(c) - 3b(c)]
2a2 - 3ab+ ac + 2ab - 3b2 +bc - 2ac + 3bc
=2a2 -ab -ac+4bc-3b2
(B)4c(-a+b+c) - [3a(a+b+c)-2b(a-b+c)]
=-4ac+4bc+4c²-[3a²+3ab+3ac-2ab+2b²-2bc]
=-4ac+4bc+4c²-3a²-3ab-3ac+2ab-2b²+2bc
=-4ac-3ac+4bc+2bc+4c²-3a²-2b²-3ab+2ab
=-7ac+6bc-ab+4c²-3a²-2b²
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