2 college alg problems? (equation down below)
\[\frac{ 3x^2+11x-4 }{ 24x^3-8x^2 }\div \frac{ 9x+36 }{ 24x^4-36x^3 }\]
find the product by factoring & reducing
Find the sum \[\frac{ 1 }{ x^2 }+ \frac{ 1 }{ x^2+x }\]
see \[3x^2 + 11x - 4 = (3x - 1)(x 4)\] similarly factorise and solve
that makes no sense
Post one problem at a time, not two. For the first, start by factoring everything.
\[\frac{ (3x-1)(x+4) }{ 8x^2 (3x-1)}\div \frac{ 6x^3(4x-6) }{ 9(x+4 }\] ?
oops... at that point it would mult too
Looks about right. Now cancel off factors and simplify.
@study_buddy99 u just need to factorize it and proceed :)
I got\[\frac{ 6x^3(3x-1)(4x-6) }{ 8x^2(9) }\] is what I got... but that's not the answer
Keep simplifying...There's still common factors on top and bottom
the first would look like : \[\frac{ (3x - 1)(x + 4) }{ 8x^2(3x - 1) }\] then u can cancel out like terms .....
*first term
\[\large \frac{ (3x-1)(x+4) }{ 8x^2 (3x-1)}* \frac{ 6x^3(4x-6) }{ 9(x+4 )} = \frac{ 6x^3(4x-6) }{ 9*8x^2 } \]and you can still simplify...
My teacher (and an answer checker both say it's \[\frac{ x(2x-3) }{ 6 }\]
Because you need to keep simplifying...\[\large \frac{ 6x^3(4x-6) }{ 9*8x^2 } = \frac{ 6x^3*2(2x-3) }{ 9*8x^2 } =\]
okay, I see. I kept making a really stupid mistake... I got it now, thank you
6/9 is 2/3, 2/8 is 1/4\[\large \frac{ 6x^3*2(2x-3) }{ 9*8x^2 } =\frac{ 2x*1(2x-3) }{ 3*4 } =\]
\[\frac{ 2x(4x+3)}{ 12 }\]
Is this a diff question...?
\[\large \frac{ 2x*1(2x-3) }{ 3*4 } = \frac{ x(2x-3) }{ 3*2 } \]
no that's what I got.
You must've made some mistakes. For one, a negative sign became a positive. And a 2 became a 4.
I'm stuck at \[\frac{ (6x^3)(2)(2x-3) }{ 8x^2(9) }\]
But then where does the x^2 go and why can't I divide 6x^3/8x^2
x^3/x^2 = x 6/8 = 3/4 You can simplify the fractions however you like
okay so I got it out to \[\frac{ 3x(2x+3) }{ 2(9) }\]
then I simplified 3/18 to get \[\frac{ x(2x-3) }{ 6 }\]
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