Question

Show all work simplify (2x^2+8x-42)/(x^2+12x+35)

Answer 1

\[2x^2+8x-42/x^2+12x+35\]

Answer 2

First un factor both the demonimater and numerator

Answer 3

\[2x^2+8x-42 ---> 2(x^2+4x+21) ---> 2(x+7)(x-3)\]

Answer 4

the u do the same for the denominator

Answer 5

and that would be\[x^2+12+35 ---> (x+5)(x+7)\]

Answer 6

so now your equation should look like

Answer 7

\[2(x+7)(x-3)/(x+7)(x+5)\]

Answer 8

so X+7 cancels X+7 in both denominator and numerator

Answer 9

so that leaves you with

Answer 10

\[2(x-3)/(x+7)\]

Answer 11

then distribute the 2 and u should get as a final anwser of

Answer 12

\[2x+6/x+5\]

Answer 13

Awesome. Thank you sooooo much.

Answer 14

XD no problem :D