Question

simplify the following expression. -8x² + 11x - 5x² + 4

Explanation:

Step1: Identify like terms

The like terms in the expression \(-8x^2 + 11x - 5x^2 + 4\) are the \(x^2\) terms: \(-8x^2\) and \(-5x^2\). The term \(11x\) and the constant term \(4\) have no like terms to combine with them yet.

Step2: Combine like terms

To combine \(-8x^2\) and \(-5x^2\), we add their coefficients. The coefficient of \(-8x^2\) is \(-8\) and the coefficient of \(-5x^2\) is \(-5\). So, \(-8 + (-5) = -13\). Therefore, combining the \(x^2\) terms gives us \(-13x^2\). The terms \(11x\) and \(4\) remain as they are since there are no other like terms.
Putting it all together, the simplified expression is \(-13x^2 + 11x + 4\).

Answer:

\(-13x^2 + 11x + 4\)