Question

subtract.
$(x^2 + 43x + 10) - (-10x^2 - 5x + 10)$
express the answer in standard form.
enter your answer in the box.

Explanation:

Step1: Distribute the negative sign

To subtract the second polynomial from the first, we distribute the negative sign to each term in the second polynomial:
$$(x^2 + 43x + 10) + 10x^2 + 5x - 10$$

Step2: Combine like terms

• For \(x^2\) terms: \(x^2 + 10x^2 = 11x^2\)
• For \(x\) terms: \(43x + 5x = 48x\)
• For constant terms: \(10 - 10 = 0\)

Answer:

\(11x^2 + 48x\)