Question

Simplify: (-24yx^5 + 10y^5x^5) / (-3y^2x^3). Simplify your answer as much as possible.

Answer 1

The simplified form of the expression (-24yx^5 + 10y^5x^5) / (-3y^2x^3) is 8/yx^2 - 10/3 y^3.

Step-by-step explanation:

To simplify the expression (-24yx5 + 10y5 x5) / (-3y2x3), we divide each term in the numerator by the term in the denominator:

• First term: (-24yx5)/(-3y2x3) = 8/x2 because -24/-3 = 8, x5/x3 = x2, and y/y2 = 1/y.
• Second term: (10y5x5)/(-3y2x3) = -10/3 y3 because 10/-3 = -10/3, and x5/x3 = x2 cancels out.

The simplified form of the expression is 8/yx2 - 10/3 y3.