2x^(2)-7x-4/x^(2) * 8x^(2)-28x+12/4x^(2)-1 Multiply
@Hero
Use the drawing pad please.
ok
\[\frac{ 2x^{2}-7x-4 }{ x ^{2} }\times \frac{ 8x ^{2}-28x+12 }{ 4x ^{2}-1 }\]
@Mertsj
Did you try factoring the numerators yet?
let me do it reak quick n check
Now cancel factors of one, then simplify
all my sign were opposite than yours
how do i simplify
To simplify: 1. Cancel all factors of 1 2. Combine the product of both fractions into one fraction
\[\frac{ x+4 }{ x ^{2} } \times \frac{ 4(x-3) }{ 2x+1 }\] this?
You can only eliminate one set of factors of one at a time
You can't eliminate every (2x - 1) you see. That's not how it works.
Also, you need to combine everything into just one fraction. For example, if you have \[\frac{a}{b}×\frac{c}{d}\] When you combine that into one fraction, you'll have \[\frac{ac}{bd}\]
When you simplify the product of two fractions, you want to express your answer in the form of one fraction with no common factors. A factor of one is a fraction such that you have the same number in the numerator and denominator: \[\frac{a}{a}\] You can only eliminate one common factor at a time. If you have \[\frac{aa}{a}\] Then you simplify as follows: \[\frac{aa}{a} = \frac{a\cancel{a}}{\cancel{a}} = a\]
Notice that you don't cancel all the a's. Only the factors of one
Also \[\frac{aa}{a} = a \times \frac{a}{a} = a \times 1 = a\]
so whats the answer
@Hero
...
Tell me what you think the answer is first.
\[\frac{4(x-4) }{x+3 }\]
@Hero
Okay, I made a sign error earlier. I apologize.
After factoring you should get: \[\frac{(2x+1)(x-4)}{x^2} \dot\ \frac{4(2x-1)(x-3)}{(2x+1)(2x-1)}\]
so my answer wasnt right
Next rewrite in a way so that the factors of one are lined up one on top of the other: \[\frac{(2x+1)(2x-1)}{(2x+1)(2x-1)} \dot\ \frac{4(x-4)(x-3)}{ x^2}\] Then cancel factors of 1: \[\frac{\cancel{(2x+1)(2x-1)}}{\cancel{(2x+1)(2x-1)}} \dot\ \frac{4(x-4)(x-3)}{ x^2}\] Now you're left with the correct result: \[\frac{4(x-4)(x-3)}{ x^2}\]
that it?
Yes, that should be it. But sometimes, they want the expanded form.
You'll have to multiply the numerator in order to get that.
thats not an option on a b c or d
I just explained to you that you might have to multiply the numerator in order to get the expanded form.
Try it and see
idk how
A) \[\frac{ x-16 }{ x+3 }\] B)\[\frac{ x-4 }{ x+3 }\] c)\[\frac{ 4(x-4) }{ x+3 }\] D)\[\frac{ 4x-4 }{ x+3 }\]
You must have posted the original problem incorrectly. There's no way you get x + 3 in the denominator.
Double check that that original question and the answer choices are for the same problem.
Join our real-time social learning platform and learn together with your friends!