Question

What is x+3 divided by x-2 and then multiplied by x+2? (x+3)/(x-2)*(x+2)

Answer 1

Answer: (x^2+5x+6)/(x-2)

This is one single fraction. The stuff up top is x^2+5x+6. The stuff down below is x-2

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Work Shown:

We multiply out the expressions (x+3) and (x+2) as they are both in the numerator. If you want, you can think of (x+2) as (x+2)/1

Multiplying (x+3) and (x+2) gives us this

(x+3)(x+2) = x(x+2) + 3(x+2) ... see note below

(x+3)(x+2) = x^2+2x + 3x + 6

(x+3)(x+2) = x^2 + 5x + 6

This is the stuff that will be on top in the final answer. The denominator x-2 stays the same.

note: I used the distribution property (a+b)(c+d) = a(c+d)+b(c+d)