Question

Simplify each of the following expressions
8. 47-95-(-73)
10. (2y^6)^3
11. (-3y)(2y^2)

Answer 1

8)47-95+73 = 25
10) 8y^18
11) -6y^3

Answer 2

can you please support your answer by showing work?

Answer 3

10)2^3*y^(6*3)=8*y^18

Answer 4

11) (-3)*2*y^(1+2)=-6y^3

Answer 5

This is also a good site for these rules. Comes with examples and all.
http://www.purplemath.com/modules/exponent.htm

Answer 6

Agent47 what about #8?

Answer 7

8. Is just using order of operations addition and subtraction remember?

Answer 8

47 - 95 = -48
-48 + 73 = 25

Answer 9

We added 73 since two minus signs turn into one big PLUS sign

Answer 10

We moved from left to right the whole problem

Answer 11

Anymore?

Answer 12

umm lol yeah actually

Answer 13

The same rule okay....

Answer 14

12. (2x^3-9)+(5x^3-10x^2+10)
13. (-6y^2-y+3)-(y^3-10y^2+y+3)
14. (2n+3)(n-6)
15. (x-3)^2

Answer 15

So we will have to foil for all of these

Answer 16

huh? whats foil?

Answer 17

Foil explained here: http://www.youtube.com/watch?v=65BAsV0SK3k
2x^3 * 5x^3 = 10x^6
2x^3 * -10x^2 = -20x^5

Answer 18

2x^3 * 10 = 20x^3

Answer 19

Now we use the -9
-9 * 5x^3= -45x^3
-9 * -10x^2 = 90x^2
-9 * 10 = -90

Answer 20

All of the products combined would equal
10x^6-20x^5+20x^3-45x^3+90x^2-90

Answer 21

Now we must combine what we can

Answer 22

Good job Legend!

Answer 23

So we get
10x^6-20x^5-25x^3+90x2-90

Answer 24

Thank You Agent47

Answer 25

Thanks You Guys! :)

Answer 26

13. -6y^2 * y3 = -6y^5
-6y^2*-10y^2= 60y^4
-6y^2 * y = -6y^3
-6y^2 * 3 = -18y^2

Answer 27

-y * y^3 = -y^4
-y * -10y^2 = 10y^3
-y * y = -y^2
-y * 3 = -3y

Answer 28

3 * y^3 = 3y^3
3 * -10y^2 = 30y^2
3 * y = 3y
3 * 3 = 9

Answer 29

man this is alot of work Thanks ALOT :)

Answer 30

Now we must combine like turns

Answer 31

6y^5-61y^4-7y^3+49y^2-9

Answer 32

14. We must FOIL
2n * n = 2n^2
2n * -6 = -12n
3 * n = 3n
3 * -6 = -18

Answer 33

2n^2 - 12n + 3n - 18

Answer 34

Now we combine like terms
-12n + 3n = -9n

Answer 35

Answer: 2n^2-9n-18

Answer 36

Now if I were you I would practice this a lot. In the future your teacher will have you do problems that make you start with: 2n^2-9n-18 and tell you to factor it and get an answer of (2n+3)(n-6)

Answer 37

(x-3)^2 notice this is just like saying 7^2

Answer 38

7^2 is (7)(7) right?

Answer 39

(x-3)(x-3)
x*x = x^2
x*-3 = -3x
-3*x = -3x
-3*-3 = 9

Answer 40

Now we can combine like terms

Answer 41

x^2-6x+9

Answer 42

Just a general public service announcement for the crowd. Please don't just give out answers. Rather guide the asker to the answer as per the Code of Conduct. Thanks.

Answer 43

ok will do

Answer 44

If you need help with anymore I'll guide you through it

Answer 45

Just remember problems like these will come up in school again. However they will give you the answer and tell you to work backwards by factoring. :) Factoring Quadratics

Answer 46

Make sure you practice a lot.