Simplify the expression. 5m^2+7m/2m-9 - 2m/2m-9

Simplify Expression: Step Title: Simplify the Expression Concise Step Description: Combine the two fractions since they have the same denominator. Calculation: (5m^2 + 7m - 2m) / (2m - 9) Math Error Check: Combine Like Terms: Step Title: Combine Like Terms Concise Step Description: Combine the like terms in the numerator. Calculation: (5m^2 + 5m) / (2m - 9) Math Error Check: Factor Numerator: Step Title: Factor the Numerator Concise Step Description: Factor out the greatest common factor in the numerator. Calculation: m(5m + 5) / (2m - 9) Math Error Check: Simplify Further: Step Title: Simplify the Numerator Further Concise Step Description: Factor out the common factor of 5 in the numerator. Calculation: 5m(m + 1) / (2m - 9) Math Error Check:

Home

Math Problems

Algebra 2

Factor polynomials

Full solution

Q. Simplify the expression.

\newline

5m^2+\frac{7m}{2m-9} - \frac{2m}{2m-9}

Simplify Expression: Step Title: Simplify the Expression $\newline$ Concise Step Description: Combine the two fractions since they have the same denominator. $\newline$ Calculation: $(5m^2 + 7m - 2m) / (2m - 9)$ $\newline$ Math Error Check:
Combine Like Terms: Step Title: Combine Like Terms $\newline$ Concise Step Description: Combine the like terms in the numerator. $\newline$ Calculation: $(5m^2 + 5m) / (2m - 9)$ $\newline$ Math Error Check:
Factor Numerator: Step Title: Factor the Numerator $\newline$ Concise Step Description: Factor out the greatest common factor in the numerator. $\newline$ Calculation: $\frac{m(5m + 5)}{(2m - 9)}$ $\newline$ Math Error Check:
Simplify Further: Step Title: Simplify the Numerator Further $\newline$ Concise Step Description: Factor out the common factor of $5$ in the numerator. $\newline$ Calculation: $\frac{5m(m + 1)}{(2m - 9)}$ $\newline$ Math Error Check: