Question

1)2(5x-4y+1)-3 (3x-3y+1) 2) a+b+c-(a-b-c) 3) 7 (2a+5b)-5 (3b-4a)

Answer 1

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Answer 2

1. Distributing the multiplication and simplifying:

2(5x-4y+1)-3(3x-3y+1) = 10x-8y+2-9x+9y-3 = (10x-9x)+(-8y+9y)+(2-3) = x+y-1

Therefore, 2(5x-4y+1)-3(3x-3y+1) simplifies to x+y-1.

2. Expanding the parentheses and simplifying:

a+b+c-(a-b-c) = a+b+c-a+b+c = 2b+2c

Therefore, a+b+c-(a-b-c) simplifies to 2b+2c.

3. Distributing the multiplication and simplifying:

7(2a+5b)-5(3b-4a) = 14a+35b-15b+20a = (14a+20a)+ (35b-15b) = 34a+20b

Therefore, 7(2a+5b)-5(3b-4a) simplifies to 34a+20b.