Question

http://prntscr.com/lw4fx0

Answer 1

Have you factored each expression @Nicole?

Answer 2

Like all the numerators and denominators?

Answer 3

Yes

Answer 4

Ill do it right now

Answer 5

Okay, but you should post your work here.

Answer 6

Can u show me the first one and I do the other ones?

Answer 7

Pretty sure you already know how to factor \(5x + 10\).

Answer 8

Ohhhh wait I got confused for a sec. So it would be

5x+10: 5(x+3)
x^2+4x-5= (x-1)(x+5)

and

x^2+10x+25= (x+5)^2
x^2+x-2= (x-1)(x+2)

Answer 9

And explain how you got those answers.

Answer 10

I just factored all of them out

Answer 11

I did it on paper and just typed the answer here.

Answer 12

Explain how you factored it though.

Answer 13

If you can't explain it then you don't really know how to do it.

Answer 14

for the first numerator: the GCF is 5 so I did \[5\left(\begin{matrix}5x \\ 5\end{matrix}\right)+\left(\begin{matrix}10 \\ 5\end{matrix}\right)\]

and comes out as 5(x+2)

Answer 15

correct?

Answer 16

Yeah, that one is easy. I was referring to the quadratic trinomial expressions

Answer 17

So for x^2+4x-5

I thought what 2 numbers add up to 4 and multiply to -5 and got -1 and 5

then I just rewrote the expression to (x−1)(x+5)

Answer 18

Very good

Answer 19

For x^2+10x+25

I rewrite the form in a^2+2ab+b^2 where a was x and b was 5

then I used the square of sum and got (x+5)^2

Answer 20

rewrote*

Answer 21

Okay, so you factored all your expressions and now you have :

\(\dfrac{5(x + 2)}{(x - 1)(x + 5)} \cdot\ \dfrac{(x + 5)^2}{(x +2)(x - 1)}\) What factors of one can we cancel at this point?

Answer 22

For x^2+x-2

I thought what 2 numbers add up to 1 and multiply to -2

then I rewrote the expression and got (x−1)(x+2)

Answer 23

Um (x+2)

Answer 24

And what else?

Answer 25

(x+5)

Answer 26

Very good: \(\dfrac{5(\cancel{x + 2})}{(x - 1)(\cancel{x + 5})} \cdot\ \dfrac{(x + 5)^{\cancel{2}}}{(\cancel{x +2})(x - 1)}\)

Answer 27

So you're left with just
\(\dfrac{5}{x - 1} \cdot \dfrac{x + 5}{x - 1}\)

Answer 28

so A is one of them

Answer 29

is their another?

Answer 30

Well, what happens if you multiply them together?

Answer 31

Do you know how to multiply fractions?

Answer 32

It would be like D

Answer 33

D is what it would look like if you were to multiply them together

Answer 34

You should use the property \(\dfrac{a}{b} \cdot\ \dfrac{c}{d} = \dfrac{ac}{bd}\)

Correct.

Answer 35

Great job

Answer 36

Thank you

how about this one: http://prntscr.com/lw4wpg

Answer 37

Post as a separate question always.

Answer 38

Okay