Question

Simplify completely x^2+4x-5/5x^2-8x+3

Answer 1

`\boxed{\bold{(x+5)/(5x-3)}}`

Step-by-step explanation:

[ Step One ] Factor
`\bold{x^2+4x-5}`

`\bold{x\left(x-1\right)+5\left(x-1\right)}`

[ Step Two ] Rewrite Equation

`\bold{(\left(x-1\right)\left(x+5\right))/(5x^2-8x+3)}`

[ Step Three ] Factor
`\bold{5x^2-8x+3}`

`\bold{\left(x-1\right)\left(x+5\right)}`

[ Step Four ] Rewrite Equation

`\bold{(\left(x-1\right)\left(x+5\right))/(\left(5x-3\right)\left(x-1\right))}`

[ Step Five ] Cancel Out Common Factor
`\bold{x-1}`

`\bold{(x+5)/(5x-3)}`

`\boxed{\bold{Mordancy}}`