rational Expressions multiply

Question

 

x+3 .      x² +3x+2

5x+20   .   x² +5x+6

Answer 1

(x + 3)(x² + 3x + 2) / (5x + 20)(x² + 5x + 6)

(x + 3)(x + 1)(x + 2) / 5(x + 4)(x + 2)(x + 3)      Factor

(x + 2) / 5(x + 4)                                               reduce

Answer 2

I think what you are asking is this:

 

(x+3)(x²+3x+2)

 

First start by distributing the x, then do the same with the 3. You get:

 

x³+3x²+2x+3x²+9x+6

 

Combine like terms for you final answer:

 

x³+6x²+11x+6.

 

 

Do the same for the second one:

 

(5x+20)(x²+5x+6)

 

5x³+25x²+30x+20x²+100x+120

 

5x³+45x²+130x_120

 

 

Let me know if you need anymore help.