Solve 5/m-3*4/2+m

$$\frac { 5 } { m - 3 } \times \frac { 4 } { 2 + m }$$

Evaluate

$$\frac{20}{\left(m-3\right)\left(m+2\right)}$$

Solution Steps

Multiply \frac{5}{m-3} times \frac{4}{2+m} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 4}{\left(m-3\right)\left(2+m\right)}$$

Multiply 5 and 4 to get 20.

$$\frac{20}{\left(m-3\right)\left(2+m\right)}$$

Apply the distributive property by multiplying each term of m-3 by each term of 2+m.

$$\frac{20}{2m+m^{2}-6-3m}$$

Combine 2m and -3m to get -m.

$$\frac{20}{-m+m^{2}-6}$$

Differentiate w.r.t. m

$$\frac{20\left(1-2m\right)}{\left(\left(m-3\right)\left(m+2\right)\right)^{2}}$$