Lutasin ang 16-m^2/(m-2)(m+4)divm-4/2m+4*m-2/m+2

$$\frac { 16 - m ^ { 2 } } { ( m - 2 ) ( m + 4 ) } \div \frac { m - 4 } { 2 m + 4 } \cdot \frac { m - 2 } { m + 2 }$$

I-evaluate

$$-2$$

Maiikling Hakbang sa Solution

I-divide ang \frac{16-m^{2}}{\left(m-2\right)\left(m+4\right)} gamit ang \frac{m-4}{2m+4} sa pamamagitan ng pagmu-multiply sa \frac{16-m^{2}}{\left(m-2\right)\left(m+4\right)} gamit ang reciprocal ng \frac{m-4}{2m+4}.

$$\frac{\left(16-m^{2}\right)\left(2m+4\right)}{\left(m-2\right)\left(m+4\right)\left(m-4\right)}\times \frac{m-2}{m+2}$$

I-factor ang mga expression na hindi pa na-factor sa \frac{\left(16-m^{2}\right)\left(2m+4\right)}{\left(m-2\right)\left(m+4\right)\left(m-4\right)}.

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

I-extract ang negatibong sign sa -4-m.

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

I-cancel out ang \left(m-4\right)\left(m+4\right) sa parehong numerator at denominator.

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

I-multiply ang \frac{-2\left(m+2\right)}{m-2} sa \frac{m-2}{m+2} sa pamamagitan ng pag-multiply ng numerator sa numerator at denominator sa denominator.

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

I-cancel out ang \left(m-2\right)\left(m+2\right) sa parehong numerator at denominator.

$$-2$$

I-factor

$$-2$$