Solve (4-m)(4+m)/m+4*m+7/8(x-4)

$$\frac { ( 4 - m ) ( 4 + m ) } { m + 4 } \times \frac { m + 7 } { 8 ( x - 4 ) }$$

Evaluate

$$\frac{\left(4-m\right)\left(m+7\right)}{8\left(x-4\right)}$$

Short Solution Steps

Cancel out m+4 in both numerator and denominator.

$$\left(-m+4\right)\times \frac{m+7}{8\left(x-4\right)}$$

Use the distributive property to multiply 8 by x-4.

$$\left(-m+4\right)\times \frac{m+7}{8x-32}$$

Express \left(-m+4\right)\times \frac{m+7}{8x-32} as a single fraction.

$$\frac{\left(-m+4\right)\left(m+7\right)}{8x-32}$$

Apply the distributive property by multiplying each term of -m+4 by each term of m+7.

$$\frac{-m^{2}-7m+4m+28}{8x-32}$$

Combine -7m and 4m to get -3m.

$$\frac{-m^{2}-3m+28}{8x-32}$$

Expand

$$-\frac{m^{2}+3m-28}{8\left(x-4\right)}$$

Short Solution Steps

Cancel out m+4 in both numerator and denominator.

$$\left(-m+4\right)\times \frac{m+7}{8\left(x-4\right)}$$

Use the distributive property to multiply 8 by x-4.

$$\left(-m+4\right)\times \frac{m+7}{8x-32}$$

Express \left(-m+4\right)\times \frac{m+7}{8x-32} as a single fraction.

$$\frac{\left(-m+4\right)\left(m+7\right)}{8x-32}$$

Apply the distributive property by multiplying each term of -m+4 by each term of m+7.

$$\frac{-m^{2}-7m+4m+28}{8x-32}$$

Combine -7m and 4m to get -3m.

$$\frac{-m^{2}-3m+28}{8x-32}$$