Question

Simplify quantity 4 x squared plus 12 x minus 16 all over quantity 2x plus 10 over quantity 6 x plus 24 over quantity x squared plus 9x plus 20.

Answer 1

The result that we have acquired is still an improper fraction based from the sequence on how the polynomials are given. There are three division bars in the given statement:

`(4x^2 + 12x -16)/( (2x10)/( (6x+24)/(x^2+9x+10) ) )`
What I did is I combined the 1st and 3rd, over the combination of the 2nd and 4th line.

`((4x^2+12x-16)(6x+24))/((2x+10)(x^2+9x+20))`
and I factored out what is similar in the given polynomials:

`(4(x+4)(x-3)6(x+4))/(2(x+5)(x+4)(x+5))`
And cancelled necessary cancellations:

`12 ((x+4)(x-3))/((x+5)(x+5))`
So our final answer would be:

`12 ((x^2+3x-4)/(x^2+10x+25) )`