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Answer:
- 3(x-y)+2(X+3y)
- -3(x+2)+5(x-3)+2x
- 2a(a+b)- 3b(2b-a)
- 4m(m+2n)-3n(2m
- (a³-5a²+8a-8)-(-2a-6+3a³-2a²)+(2a+3a-4a²+6a³)
- (3a-5b)-(6a-7c)-(4c-8a)+(2a+3b-4c)
1. 3(x-y)+2(X+3y)
= 3x-3y+2x+6y
= 5x+3y
2. -3(x+2)+5(x-3)+2x
= -3x-6+5x-15+2x
= 4x-21
3. 2a(a+b)-3b(2b-a)
= 4a²+2ab-6b²-3ab
= 2a²-5ab-6b²
4. 4m(m+2n)- 3n(2m-n)
= 4m²+8mn-6mn-3n²
= 4m²-3n²+2mn
5. (a³-5a²+8a-8)-(-2a-6+3a³-2a²)+(2a+3a-4a²+6a³)
= a³-5a²+8a-8+2a+6-3a³+2a²+2+3a-4a²+6a³
===> combine like terms
= a³-5a²+8a-8a+2a+6-3a²+2a²+2+3a-4a²+6a³
= (a³-3a+6a³)+(-5a²+2a²-4a²)+(8a+2a+3a)+(-8+6+2)
= 4a²-7a²+13a
6. (3a-5b)-(6a-7c)-(4c-8a)+(2a+3b-4c)
= 3a-5b-6a+7c-4c+8a+2a+2a+3b-4c
====> combine like terms
= 3a-5b-6a+7c-4c+8a+2a+3b-4c
= (3a-6a+8a+2a)+(-5b+3b)+(7c-4c-4c)
= 7a-2b-c
this is your answer
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