algebra skill review #1\nscore: 24/26 answered: 24/26\nquestion 25\nperform the following division (find the…

algebra skill review #1\nscore: 24/26 answered: 24/26\nquestion 25\nperform the following division (find the following quotient).\n\\(\\frac{20xy^{2}-8x}{-4x}\\)\nenter your answer as an expression. example: 3x^2+1, x/5, (a + b)/c\nbe sure your variables match those in the question

algebra skill review #1\nscore: 24/26 answered: 24/26\nquestion 25\nperform the following division (find the following quotient).\n\\(\\frac{20xy^{2}-8x}{-4x}\\)\nenter your answer as an expression. example: 3x^2+1, x/5, (a + b)/c\nbe sure your variables match those in the question

Answer

Explanation:

Step1: Split the fraction

$\frac{20xy^{2}-8x}{-4x}=\frac{20xy^{2}}{-4x}-\frac{8x}{-4x}$

Step2: Simplify each term

For $\frac{20xy^{2}}{-4x}$, cancel out $x$ and simplify the coefficient: $\frac{20}{-4}y^{2}=- 5y^{2}$. For $\frac{8x}{-4x}$, cancel out $x$ and simplify the coefficient: $\frac{8}{-4}=-2$. So $\frac{20xy^{2}}{-4x}-\frac{8x}{-4x}=-5y^{2}+2$

Answer:

$-5y^{2}+2$