Chapter ISG, Problem 8.2.4P

To determine

To identify and correct any error made

Answer to Problem 8.2.4P

  $24y^3-18y^4$ is correct.

Explanation of Solution

Given information:

  $12y^2(3y-2y^2)-3y^3(4-2y)$

Calculation:

The given equation is $12y^2(3y-2y^2)-3y^3(4-2y)$

Simplifying,

  = $12y^2(3y)-(12y^2)(2y^2)-3y^3(4)+(2y)(3y^3)$

Multiplying,

  = $36y^{2+1}-24y^{2+2}-12y^3+6y^{1+3}$

So,

  = $36y^3-24y^4-12y^3+6y^4$

Adding terms,

  = $24y^3-18y^4$

Hence, this is the correct simplification