Algebra 1
posted by Charlezetta on .
Hello. Can someone show me how to 'multiply and express the product in simplest form.' If I can get a detailed example for the first one, I could go my own way for the other two.
1.
x  3
(_______)^3 . 1
2 (______)^2
x  3
2.
x^2  9
_______ . x^2  4
x + 2 _______
x  3
3.
x^2 + 5x + 4 x + 1
_____________* _______
(x + 3)^2 x^2  9
The . is times, and the * is divided by.
Many thanks in advance.

The above formatting is not the way I wanted, so I'll repost
(x  3/ 2)^3 .(1 / x  3)^2
x^2  9/x + 2 .x^2  4/ x  3
x^2 + 5x+4/(x+3)^2 * x+1/ x^29 
It helps to use common notation and clarify using parentheses, brackets and use of spaces. "*" = multiply and "/" indicates divide online.
(x  3/ 2)^3 .(1 / x  3)^2 = (x  3/ 2)^3 * (1/x  3)^2 (?)
x^2  9/x + 2 .x^2  4/ x  3 = (x^2  9/x + 2) * (x^2  4/x  3) (?)
x^2 + 5x+4/(x+3)^2 * x+1/ x^29 = [(x^2 + 5x+4)/(x+3)^2] / (x+1)/(x^29) (?)
Can you improve the formatting again?