Question

Can some one please help me with some factoring problems?

Answer 1

\[x^{2}-121\]

Answer 2

(x-11)(x+11)

Answer 3

So if I was to do a problem like.. \[4x^{2}-25y^{2}\] It's what numbers add up to 25 & equal 4?

Answer 4

kind. it would be the 2 xs multiplying to 4x^2 and the 2 ys multiplying to 25y^2.

Answer 5

kinda*

Answer 6

So I multiply both sides by 2?

Answer 7

what? o.o

Answer 8

the factors are (2x-5y)(2x+5y)

you multiply them by each other.

Answer 9

Wait so that's the answer? or you have to multiply those to get the answer?

Answer 10

no, those ARE the answer. In factoring problems, you are given the answer and you have to find the original problem.

Answer 11

Okay how about \[4y^{2}-1?\]

Answer 12

(2y-1)(2y+1)
This is called the difference of squares.

If both terms can be square rooted, just put the root of the one with the variable+the root of the number without the variable, then the same but with a - instead of a +, or do it the other way around.

Answer 13

Okay I see.. so if \[100y^{2}-a ^{2}\] it would be (10y-a) (10y+a)?

Answer 14

yesh

Answer 15

good job :p

Answer 16

Thanks! :D Now this next problem I don't understand at all. It's \[36a ^{2}b ^{2}-x ^{2}y ^{2}\]

Answer 17

(6ab-xy)(6ab+xy)

Answer 18

Oh I see, so what if there's another number like.. \[16m ^{2}n ^{2}-9x ^{2}y ^{2} \] ?

Answer 19

(╯>_<）╯=====┻━┻

Answer 20

(4mn-3xy)(4mn+3xy)

Answer 21

Lol how about \[36x ^{6}-25y ^{8}\]?

Answer 22

(6x^3-5y^4)(6x^3+5y^4)

Answer 23

What does ^ mean?

Answer 24

that's (number)to the (number)th power

ie, the 3 in 6x^3 means that the 6x is cubed.

Answer 25

so \[1-x ^{2}\] would be (x-1) (x+1)

Answer 26

(1-x)(1+x)*

Answer 27

oh okay how about \[m ^{2}n ^{2}-121\]

Answer 28

(mn+11)(mn-11)

Answer 29

Thanks so much, studying for a test! Thanks alot I understand you more than my own teacher.

Answer 30

♥