Question

subtract the polynomials.
$(3v^{5} + 5v^{2} - 4) - (7v^{5} - 3v^{2} + 13)$

Explanation:

Step1: Distribute the negative sign

$(3v^5 + 5v^2 - 4) - 7v^5 + 3v^2 - 13$

Step2: Group like terms

$(3v^5 - 7v^5) + (5v^2 + 3v^2) + (-4 - 13)$

Step3: Combine like terms

$(-4v^5) + (8v^2) + (-17)$

Answer:

$-4v^5 + 8v^2 - 17$