Question

How do you simplify `\frac { 16x ^ { 6} - 72x ^ { 5} + 40} { 8}`?

Answer 1

See a solution process below:

Explanation:

First, rewrite the expression as:

`(16x^6)/8 - (72x^5)/8 + 40/8`

Now, reduce each fraction:

`((8 xx 2)x^6)/8 - ((8 xx 9)x^5)/8 + (8 xx 5)/8 =>`

`((color(red)(cancel(color(black)(8))) xx 2)x^6)/color(red)(cancel(color(black)(8))) - ((color(red)(cancel(color(black)(8))) xx 9)x^5)/color(red)(cancel(color(black)(8))) + (color(red)(cancel(color(black)(8))) xx 5)/color(red)(cancel(color(black)(8))) =>`

`2x^6 - 9x^5 + 5`

Answer 2

`2x^6-9x^5+5`

Explanation:

`"take out a"color(blue) " common factor of 8 "" on the numerator"`

`rArr(cancel(8)^1(2x^6-9x^5+5))/cancel(8)^1`

`=2x^6-9x^5+5`