Chapter 8, Problem 19SGR

To determine

To calculate the sum or difference.

Answer to Problem 19SGR

  $-a^2+9a-6$

Explanation of Solution

Given:

Expression: $a^2+5a-3-(2a^2-4a+3)$

Calculation:

Consider the expression,

  $\Rightarrow a^2+5a-3-(2a^2-4a+3)$

Simplifying the expression,

  $\Rightarrow a^2+5a-3-2a^2+4a-3$

On combining the like terms,

  $\Rightarrow (a^2-2a^2)+(5a+4a)-(3+3)$

Adding and subtracting the like terms,

  $\Rightarrow -a^2+9a-6$

Conclusion:

Therefore, the solution to the expression is $-a^2+9a-6.$