Question

Simplify: 3y^2-4y-7/ 9y^2 divided by y^2-6y-7/3y^2-14y-49

Answer 1

just a pro tip:
www.wolframalpha.com
Calculating atm will return answer asap.

Answer 2

i need to know how to solve it. like steps

Answer 3

it doesnt understand the ? on wolfram because I dont know how to type 3y^2-4y-7 over 9y^2-49

Answer 4

((3y^2-4y-7)/(9y^2))/((y^2-6y-7)/(3y^2-14y-49)) like this.

Answer 5

factorise everything

Answer 6

3y^2 -4y -7

Answer 7

two numbers multiply to give -21 and add to give -4

Answer 8

-7 and +3

Answer 9

3y^2 +3y-7y -7

3y(y+1) -7(y+1)
= (y+1)(3y-7)

Answer 10

etc, do for the rest

Answer 11

y^2-6y-7 =
(y-7)(y+1)

Answer 12

3y^2 -14y -49

Answer 13

factor that , you can do that

llook for two numbers that multiply to give (3 x -49 ) and add to give -14

Answer 14

I got this...

Answer 15

:|

Answer 16

yeh, but you did nothing lols, all u did was rewrite it

you are meant to factor everything, then stuff will cancel

Answer 17

3y^2 -14y -49 = (y-7)(3y+7)

Answer 18

then lots cancels

Answer 19

\[= \frac{ (y+1)(3y-7) }{9y^2} \times \frac{(y-7)(3y+7) }{(y-7)(y+1)}\]

Answer 20

\[= \frac{ 9y^2 -49}{9y^2}\]

Answer 21

\[= 1 - \frac{49}{9y^2}\]

if you really want