Lahenda c+12/(12-c)^2+12/12c-c^2

$$\frac { c + 12 } { ( 12 - c ) ^ { 2 } } + \frac { 12 } { 12 c - c ^ { 2 } }$$

Arvuta

$$\frac{c^{2}+144}{c\left(12-c\right)^{2}}$$

Lühike lahenduskäik

Tegurda 12c-c^{2}.

$$\frac{c+12}{\left(12-c\right)^{2}}+\frac{12}{c\left(-c+12\right)}$$

Avaldiste liitmiseks või lahutamiseks laiendage need, et neil oleksid ühised nimetajad. \left(12-c\right)^{2} ja c\left(-c+12\right) vähim ühiskordne on c\left(-c+12\right)\left(-c+12\right)^{2}. Korrutage omavahel \frac{c+12}{\left(12-c\right)^{2}} ja \frac{c\left(-c+12\right)}{c\left(-c+12\right)}. Korrutage omavahel \frac{12}{c\left(-c+12\right)} ja \frac{\left(-c+12\right)^{2}}{\left(-c+12\right)^{2}}.

$$\frac{\left(c+12\right)c\left(-c+12\right)}{c\left(-c+12\right)\left(-c+12\right)^{2}}+\frac{12\left(-c+12\right)^{2}}{c\left(-c+12\right)\left(-c+12\right)^{2}}$$

Kuna murdudel \frac{\left(c+12\right)c\left(-c+12\right)}{c\left(-c+12\right)\left(-c+12\right)^{2}} ja \frac{12\left(-c+12\right)^{2}}{c\left(-c+12\right)\left(-c+12\right)^{2}} on sama nimetaja, liitke nende lugejad.

$$\frac{\left(c+12\right)c\left(-c+12\right)+12\left(-c+12\right)^{2}}{c\left(-c+12\right)\left(-c+12\right)^{2}}$$

Tehke korrutustehted võrrandis \left(c+12\right)c\left(-c+12\right)+12\left(-c+12\right)^{2}.

$$\frac{-c^{3}+12c^{2}-12c^{2}+144c+12c^{2}-288c+1728}{c\left(-c+12\right)\left(-c+12\right)^{2}}$$

Kombineerige sarnased liikmed avaldises -c^{3}+12c^{2}-12c^{2}+144c+12c^{2}-288c+1728.

$$\frac{-c^{3}+12c^{2}-144c+1728}{c\left(-c+12\right)\left(-c+12\right)^{2}}$$

Kui avaldised pole tehtes \frac{-c^{3}+12c^{2}-144c+1728}{c\left(-c+12\right)\left(-c+12\right)^{2}} veel teguriteks lahutatud, tehke seda.

$$\frac{\left(-c+12\right)\left(c^{2}+144\right)}{c\left(-c+12\right)\left(-c+12\right)^{2}}$$

Taandage -c+12 nii lugejas kui ka nimetajas.

$$\frac{c^{2}+144}{c\left(-c+12\right)^{2}}$$

Laiendage c\left(-c+12\right)^{2}.

$$\frac{c^{2}+144}{c^{3}-24c^{2}+144c}$$

Laienda

$$\frac{c^{2}+144}{c\left(c-12\right)^{2}}$$

Lühike lahenduskäik

Tegurda 12c-c^{2}.

$$\frac{c+12}{\left(12-c\right)^{2}}+\frac{12}{c\left(-c+12\right)}$$

Avaldiste liitmiseks või lahutamiseks laiendage need, et neil oleksid ühised nimetajad. \left(12-c\right)^{2} ja c\left(-c+12\right) vähim ühiskordne on c\left(-c+12\right)\left(-c+12\right)^{2}. Korrutage omavahel \frac{c+12}{\left(12-c\right)^{2}} ja \frac{c\left(-c+12\right)}{c\left(-c+12\right)}. Korrutage omavahel \frac{12}{c\left(-c+12\right)} ja \frac{\left(-c+12\right)^{2}}{\left(-c+12\right)^{2}}.

$$\frac{\left(c+12\right)c\left(-c+12\right)}{c\left(-c+12\right)\left(-c+12\right)^{2}}+\frac{12\left(-c+12\right)^{2}}{c\left(-c+12\right)\left(-c+12\right)^{2}}$$

Kuna murdudel \frac{\left(c+12\right)c\left(-c+12\right)}{c\left(-c+12\right)\left(-c+12\right)^{2}} ja \frac{12\left(-c+12\right)^{2}}{c\left(-c+12\right)\left(-c+12\right)^{2}} on sama nimetaja, liitke nende lugejad.

$$\frac{\left(c+12\right)c\left(-c+12\right)+12\left(-c+12\right)^{2}}{c\left(-c+12\right)\left(-c+12\right)^{2}}$$

Tehke korrutustehted võrrandis \left(c+12\right)c\left(-c+12\right)+12\left(-c+12\right)^{2}.

$$\frac{-c^{3}+12c^{2}-12c^{2}+144c+12c^{2}-288c+1728}{c\left(-c+12\right)\left(-c+12\right)^{2}}$$

Kombineerige sarnased liikmed avaldises -c^{3}+12c^{2}-12c^{2}+144c+12c^{2}-288c+1728.

$$\frac{-c^{3}+12c^{2}-144c+1728}{c\left(-c+12\right)\left(-c+12\right)^{2}}$$

Kui avaldised pole tehtes \frac{-c^{3}+12c^{2}-144c+1728}{c\left(-c+12\right)\left(-c+12\right)^{2}} veel teguriteks lahutatud, tehke seda.

$$\frac{\left(-c+12\right)\left(c^{2}+144\right)}{c\left(-c+12\right)\left(-c+12\right)^{2}}$$

Taandage -c+12 nii lugejas kui ka nimetajas.

$$\frac{c^{2}+144}{c\left(-c+12\right)^{2}}$$

Laiendage c\left(-c+12\right)^{2}.

$$\frac{c^{2}+144}{c^{3}-24c^{2}+144c}$$