egracer one year ago CAN SOMEONE TELL ME IF THESE ARE CORRECT!! ANWSER ARE ON THE BOTTOM Part A: Factor 3x2y2 − 2xy2 − 8y2. Show your work. Part B: Factor x2 + 10x + 25. Show your work. Part C: Factor x2 − 36. Show your work. -------------------- Part A-y^2(3x^2y^2-2x-8) Part B-(x+5)^2 Part C-(x+6)(x-6)

1. Nnesha

if you have 3 different typez of chocolates in the boxand u will take out all of 3 how many will left in the box ?

2. egracer

0

3. Nnesha

yes right so factor menas take out common stuff right so first question when you take out y^2 from first term how many y will left in the parentheses $\huge\rm 3x^2y^2 − 2xy^2 − 8y^2$

4. Nnesha

or in other words divide all 3 terms by common factor

5. Nnesha

$\huge\rm \frac{ 3x^2y^2 }{ y^2 }-\frac{ 2xy^2 }{ y^2}-\frac{ 8y^2 }{ y^2 }$

6. egracer

So the y^2 would cancel out?

7. Nnesha

YEP!

8. Nnesha

so y^2(??????????????)

9. egracer

so it would be 3x^2-2x-8?

10. anonymous

btw Part B-(x+5)^2 $$\checkmark$$ Part C-(x+6)(x-6) $$\checkmark$$

11. egracer

thank you

12. Nnesha

yep my pleasure

13. egracer

so the final answer would be 3x^2-2x-8

14. Nnesha

who kidnapped y^2 ??

15. egracer

y^2(3x^2-2x-8)

16. Nnesha

lO_Oks gO_Od

17. egracer

THANKKK YOUUU SOOO MUCHHHHH

18. anonymous

hmmm

19. Nnesha

now factor 3x^2 -2x-8

20. egracer

hmmmm combine like terms first right?

21. Nnesha

are there any *like* terms ?

22. egracer

nope there are none

23. Nnesha

so i would apply *Headphone* method find two number if you multiply them you should get product of AC and if you add or subtract them you should get middle term a=leading coefficient b=middle term c=constant term

24. Nnesha

$\huge\rm \color{reD}{A}x^2-\color{blue}{B}x-\color{green}{C }$ $\huge\rm \color{reD}{3}x^2-\color{blue}{2}x-\color{green}{8 }$

25. egracer

so suntract them?

26. Nnesha

no what is a and c ?

27. egracer

3-8?

28. Nnesha

yep a =3 and c=-8 so multiply them ac =3 times -8 = -24 find two number if you multiply them you should get -24 and if you add or subtract them you should get -2

29. egracer

30. Nnesha

yep that's right ..........

31. egracer

thankk youu

32. Nnesha

my pleasure