Question

24x^5-8x^4+12x^3-4x^2 / 4x^2

Answer 1

The detailed process of simplification is :

Explanation:

`(24x^(5) - 8x^(4) + 12x^(3) - 4x^(2) )/(4x^(2) )`

=
`(24x^(5) )/(4x^(2) )` -
`(8x^(4) )/(4x^(2) )` +
`(12x^(3) )/(4x^(2) )` -
`(4x^(2) )/(4x^(2) )` ..........................separate the terms

= 6
`x^(5-2)` - 2
`x^(4-2)` + 3
`x^(3-2)` - 1 ................ subtract the power of x from denominator

= 6
`x^(3)` - 2
`x^(2)` + 3
`x` -1

= 2
`x^(2)`( 3
`x` -1 ) + (3
`x` -1 )................................... Take (3
`x` -1 ) common in (6
`x^(3)` - 2
`x^(2)`)

= (3
`x` -1 ) (2
`x^(2)` +1) .......................................Take (3
`x` -1 ) common in whole equation