Chapter 1, Problem 12CT

To determine

To Write: The simplified of the expression.

Answer to Problem 12CT

  $\left(15k+2\right)-\left(k^2-2\right)=-k^2\text{+15}k\text{+4}$ option ‘C’ is correct.

Explanation of Solution

Given information:

The expression $\left(15k+2\right)-\left(k^2-2\right)$

Concept and Formula Used:

Addition and subtraction of like terms.

Calculation:

The given expression is

  $\begin{array}{l}\left(15k+2\right)-\left(k^2-2\right)=15k+2-k^2+2\left(\text{multiply by -1 iside the bracket}\right)\\ \left(15k+2\right)-\left(k^2-2\right)=15k-k^2\text{+4 }\left(\text{Adding like terms}\right)\\ \left(15k+2\right)-\left(k^2-2\right)=-k^2\text{+15}k\text{+4 }\left(\text{Commutative propert of addition}\right)\end{array}$

Conclusion:

  $\left(15k+2\right)-\left(k^2-2\right)=-k^2\text{+15}k\text{+4}$ option ‘C’ is correct.