Question

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

Answer 1

Answer:

The detailed process of simplification is :

Step-by-step explanation:

$\frac{24x^{5} - 8x^{4} + 12x^{3} - 4x^{2} }{4x^{2} }$

= $\frac{24x^{5} }{4x^{2} }$ - $\frac{8x^{4} }{4x^{2} }$ + $\frac{12x^{3} }{4x^{2} }$ - $\frac{4x^{2} }{4x^{2} }$ ..........................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