first question :
Simplify.
2+x/8x / 3+x/x
Enter your answer in the box.
I think the answer is x+2 / 8(x+3)
Second question:
Simplify.
4x^3−12x^2 /4x^2+7x−2/ 2x^2−6x / 5x^2+11x+2
i think the answer is 2x(4x+1)/4x-1
Invert [ 3 + x ] / x and multiply by the first fration
[ 2 + x ] / [ 8x ] * [x] / [ 3 + x ] =
[ 2 + x ] [ x ]
____________ cancel the x's
[ 8x ] [ 3 + x ]
2 + x
_________
8 ( 3 + x)
Yep....good job, Jenny !!!
Yes! Thank You, thats the way I solved it as well .If you could check the other one by chance ?
4x^3−12x^2 /4x^2+7x−2/ 2x^2−6x / 5x^2+11x+2
Invert the second fraction and multiply by the first
4x^3 - 12x^2 5x^2 + 11x + 2
___________ x _______________ factor as much as possible
4x^2 + 7x - 2 2x^2 - 6x
4x^2 ( x - 3) ( 5x + 1) ( x + 2)
______________ x _______________ "cancel" where possible
(4x - 1) ( x + 2) 2x ( x - 3)
2x * ( 5x + 1)
_____________
( 4x - 1)
I got it right thank you again! I do get confused on the solving but your explanation has helped .
I posted another question a bit different then this one , however I was having more diffucly with it , you could explain it? It is named "Solve for X" .