Simplify the following algebraic operations:
a) 7x – 2(x-2) + 5(x+3)
b) (x+2)(x-4) + 3x + 1

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1 Answer

a. distribute the -2 and 5 so 7x-2(x-2)+5(x+3) becomes 7x-2x+4+5x+15

then combine like terms 7x-2x+5x=10x and 4+15=19 so final answer is 10x+19

b. FOIL the binomials (x+2)(x-4)=x^2-4x+2x-8

then combine all like terms x^2-4x+2x-8+3x+1=x^2+x-7
by Level 5 User (11.9k points)

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