anonymous 5 years ago 25xto the 3rd degreey to 2degree +125xto 2 degreeyto5degree FACTOR COMPLETELY

1. anonymous

$(25x^3)^2+(125x^2)^5$?

2. anonymous

HOW DO YOU ENTER EXPONENTS ON THE KEYBOARD

3. anonymous

i think you have a symol palette where it says $\sum$equation

4. anonymous

i am writing latex to do it

5. anonymous

i would start by writing $(5^2x^3)^2+(5^3x^2)^5$

6. anonymous

if this is the problem.

7. anonymous

if it is not let me know and i will not continue with this method

8. anonymous

NO WHEN I PUT TO WHATEVER DEGREE THAT IS THE EXPONENT

9. anonymous

25XTO 3 DEGREE Y TO 2 DEGREE + 125X TO 2 DEGREE Y TO 5 DEGREE

10. anonymous

$25(x^3)^2+125(x^2)^5$?

11. anonymous

YOU LEFT OUT HE Y'S AND THEIR DEGREES AND NO BRACKETS OR PARENTHESES

12. anonymous

oho

13. anonymous

$25x^3y^2+125x^2y^5$

14. anonymous

YES

15. anonymous

ok each has a common factor of $25x^2y^2$ is that clear?

16. anonymous

so you can factor it out and write $25x^2y^2(x+5y^3$

17. anonymous

NO, I NEED STEP BY STEP

18. anonymous

ok. you have two numbers 25 and 125

19. anonymous

YES

20. anonymous

their greatest common factor is 25 because $25=25\times 1$ and $125=25\times 5$ so that is going to come out of the parenthese

21. anonymous

just looking at that part we can say that $25+125=25(1+5)$

22. anonymous

THERE IS NO PARENTHESES

23. anonymous

no there are not. but "factoring" means to write as a produce. that is our job, to put the parenthese in

24. anonymous

OK

25. anonymous

so now for the variables: first term has $x^3$ second term has $x^2$

26. anonymous

their greatest common factor is $x^2$ because $x^2=x^2\times 1$ and $x^3=x^2\times x$

27. anonymous

I AM SORRY BUT THIS ISN'T HELPING

28. anonymous

so we are going to "factor out" a 25 and an $x^2$

29. anonymous

i have a better idea.

30. anonymous

look at my answer which is $25x^2y^2(x+5y^3)$ multiply out using the distributive law and see if you get what you started with.

31. anonymous

maybe then it will be clear where the $25x^2y^2$ came from, and why we pulled it out front of the parentheses