Chapter 8, Problem 20SGR

To determine

To calculate the sum or difference.

Answer to Problem 20SGR

  $x^2-x+6$

Explanation of Solution

Given:

Expression: $(4x-3x^2+5)+(2x^2-5x+1)$

Concept used:

General addition and subtraction is used to find the sum or difference of the given expression.

Calculation:

Consider the expression,

  $\Rightarrow (4x-3x^2+5)+(2x^2-5x+1)$

Simplifying the expression,

  $\Rightarrow 4x-3x^2+5+2x^2-5x+1$

Combining the like terms,

  $\Rightarrow (2x^2-3x^2)+(4x-5x)+(1+5)$

Adding the like terms,

  $\Rightarrow x^2-x+6$

Conclusion:

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