Question

subtract:
$(5x^2 + 3x - 1) - (2x^2 - 4x + 6)$

Explanation:

Step1: Distribute the subtraction sign

We need to subtract the second polynomial from the first, so we distribute the negative sign to each term in the second polynomial:
$(5x^2 + 3x - 1) - (2x^2 - 4x + 6) = 5x^2 + 3x - 1 - 2x^2 + 4x - 6$

Step2: Combine like terms for \(x^2\) terms

Combine the \(x^2\) terms: \(5x^2 - 2x^2 = 3x^2\)

Step3: Combine like terms for \(x\) terms

Combine the \(x\) terms: \(3x + 4x = 7x\)

Step4: Combine constant terms

Combine the constant terms: \(-1 - 6 = -7\)

Answer:

\(3x^2 + 7x - 7\)