Question

Find each quotient. All final answers must be in simplest form.-10a3b2 + 25a2b5-5a²b / -5a²b =A 2a - 5b^4 + 1B 2ab - 5b^4 - 1C 2ab - 5b^4 + 1D 2ab + 5b^4 + 1

Answer 1

Given the expression:

$\frac{-10a^3b^2+25a^2b^5-5a^2b}{-5a^2b}$

we will distribute the numerator over the denominator as follows:

$\begin{gathered} =\frac{-10a^3b^2}{-5a^2b}+\frac{25a^2b^5}{-5a^2b}+\frac{-5a^2b}{-5a^2b} \\ \\ =2ab-5b^4+1 \end{gathered}$

So, the answer is option C) 2ab - 5b^4 + 1