Question

Find a pair of factors for each number by using the difference of two squares.
a. 45
b. 77
c. 112

a.

b.

c.

Answer 1

@jigglypuff314

Answer 2

I'm not sure what this question is asking, sorry :/

Answer 3

ahh ok :/ ty

Answer 4

mmm
factor x^2 + 9x + 20 = ?

Answer 5

im confused :/

Answer 6

to simplify this
factor x^2 + 9x + 20
-------------- =
x^2 - 25

Answer 7

i think A

Answer 8

correct :)

Answer 9

yayy :D

Answer 10

mmm
if x = √11
foil (6 - x)(6 + x) = ?

Answer 11

A

Answer 12

close :)
you would get 36 - x^2 right?
so it would be 36 - (√11)^2
and √11 times √11 = 11
so 36 - 11 = ?

Answer 13

D. 25 :D

Answer 14

factor out a 2m^6 from (-6m^7 + 20m^6)

Answer 15

hmm

Answer 16

C

Answer 17

correct! :)

Answer 18

yaay!! ^-^

Answer 19

mmm
the (-3) s can cancel out
and denominator can't equal 0

Answer 20

C :s

Answer 21

mmm
once you cancel out the (-3) s
your left with q + 2 in the denominator
and the denominator can not equal 0

Answer 22

B :D

Answer 23

mmm
q + 2 = 0 ?
I'm referring to the "where q =" part

Answer 24

ohhh makes sense now!

Answer 25

D

Answer 26

multiply top and bottom by (x-2)(x+2)
to get
(x+1)(x+1)(x+2)
-------------- =
(x-1)(x+1)
then cancel out a (x+1) from top and bottom

Answer 27

i think A

Answer 28

Correct! :)

Answer 29

yay! :-)

Answer 30

multiply top and bottom by (x-8)
to get
(x-2)(x+2)
--------- =
(x-2)(x-8)
then cancel out the (x-2)

Answer 31

C

Answer 32

mmm close!
when you cancel out the (x-2) s
you'll be left with a (x+2) on top right?

Answer 33

D :)

Answer 34

factor the top and bottom
then cancel out a 2

Answer 35

B

Answer 36

wait... what does it mean by "excluded value" ?

Answer 37

o.o i have no idea hold on

Answer 38

http://www.virtualnerd.com/algebra-1/rational-expressions-functions/expressions/excluded-values/excluded-value-example

Answer 39

oh okay
then Not B
you'll be left with 2(x-2) in denominator
denominator cannot equal 0

Answer 40

D

Answer 41

yep :)

Answer 42

yayy! :D

Answer 43

factor top and bottom
cancel out (x-6)

Answer 44

B :/

Answer 45

when you factor you'll get
(x-6)(x+6)
---------
-7x (x-6)

Answer 46

c

Answer 47

yep :)

Answer 48

woo hoo

Answer 49

factor to get
(x-6)(x+6)
---------
-(x-6)

Answer 50

hmmm A

Answer 51

Correct! :)

Answer 52

yay

Answer 53

they are asking what is x when given
x^2 + 3x - 10 = 0

Answer 54

hmm

Answer 55

i think D

Answer 56

yep :)

Answer 57

yayy!! The area of a rectangle is x2 - 2x - 15 and the length of the rectangle is x + 3. Find the width of the rectangle.
A. x – 5
B. x2 + 15
C. x + 5
D. (x – 2)(x + 3)

Answer 58

(x-5)(x+3)
---------
x+3

Answer 59

A

Answer 60

yep :)

Answer 61

yayay! :D

Answer 62

idk how to do this one, sorry :/

Answer 63

how about :/

Answer 64

if x = √6
then what is x + 2x = ?

Answer 65

hm

Answer 66

B :s

Answer 67

im not sure

Answer 68

well what is x + 2x = ?

Answer 69

3x

Answer 70

then replace x with √6
this works because square roots work like variables :P

Answer 71

D

Answer 72

mmm
3x then replace x with √6
so 3√6

Answer 73

ahh ok :/

Answer 74

mmm
cross multiply to get
x√5 = 2√5 -2 then divide both sides by √5

Answer 75

C

Answer 76

mmm
x = (2√5 -2) / √5

Answer 77

a times a^2 = a^3

Answer 78

A

Answer 79

mmm?
2a times a^2 = 2a^3

Answer 80

sorry, B

Answer 81

yep :)

Answer 82

yaa! :))

Answer 83

√39 √6 = √(39*6) = √234
7 times √39 = 7√39

Answer 84

hmm