Homework Sourse13x33x227x29x3 SimplifySolution13x33x227x29x3 Numerator 13x3
(1/3x^3+3x^2)(27x^2+9x-3) Simplify
Solution
(1/3x^3+3x^2)(27x^2+9x-3)
Numerator (1/3x^3+3x^2) = x^2( x +9)/3
Denominator = 27x^2 +9x -3 = 3(9x^2 +3x -1)
= 3(9x^2 +3x -1)
So,(1/3x^3+3x^2)(27x^2+9x-3) =[ x^2( x +9)/3]3(9x^2 +3x -1)
= (x^3 +9x^2)(9x^2 +3x -1)
= 9x^5 +3x^4 -x^3 +81x^4 +27x^3 -9x^2
= 9x^5 + 84x^4 + 26x^3 - 9x^2
