Whakaoti i te 8k^2/3+4k^2-44k^2-12/3+4k^2

$$\frac { 8 k ^ { 2 } } { 3 + 4 k ^ { 2 } } - 4 \frac { 4 k ^ { 2 } - 12 } { 3 + 4 k ^ { 2 } }$$

Aromātai

$$\frac{8\left(6-k^{2}\right)}{4k^{2}+3}$$

Ngā Hipanga Rongoā Poto

Tuhia te 4\times \frac{4k^{2}-12}{3+4k^{2}} hei hautanga kotahi.

$$\frac{8k^{2}}{3+4k^{2}}-\frac{4\left(4k^{2}-12\right)}{3+4k^{2}}$$

Whakamahia te āhuatanga tohatoha hei whakarea te 4 ki te 4k^{2}-12.

$$\frac{8k^{2}}{3+4k^{2}}-\frac{16k^{2}-48}{3+4k^{2}}$$

Tā te mea he rite te tauraro o \frac{8k^{2}}{3+4k^{2}} me \frac{16k^{2}-48}{3+4k^{2}}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{8k^{2}-\left(16k^{2}-48\right)}{3+4k^{2}}$$

Mahia ngā whakarea i roto o 8k^{2}-\left(16k^{2}-48\right).

$$\frac{8k^{2}-16k^{2}+48}{3+4k^{2}}$$

Whakakotahitia ngā kupu rite i 8k^{2}-16k^{2}+48.

$$\frac{-8k^{2}+48}{3+4k^{2}}$$

Whakaroha

$$-\frac{8\left(k^{2}-6\right)}{4k^{2}+3}$$

Ngā Hipanga Rongoā Poto

Tuhia te 4\times \frac{4k^{2}-12}{3+4k^{2}} hei hautanga kotahi.

$$\frac{8k^{2}}{3+4k^{2}}-\frac{4\left(4k^{2}-12\right)}{3+4k^{2}}$$

Whakamahia te āhuatanga tohatoha hei whakarea te 4 ki te 4k^{2}-12.

$$\frac{8k^{2}}{3+4k^{2}}-\frac{16k^{2}-48}{3+4k^{2}}$$

Tā te mea he rite te tauraro o \frac{8k^{2}}{3+4k^{2}} me \frac{16k^{2}-48}{3+4k^{2}}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{8k^{2}-\left(16k^{2}-48\right)}{3+4k^{2}}$$

Mahia ngā whakarea i roto o 8k^{2}-\left(16k^{2}-48\right).

$$\frac{8k^{2}-16k^{2}+48}{3+4k^{2}}$$

Whakakotahitia ngā kupu rite i 8k^{2}-16k^{2}+48.

$$\frac{-8k^{2}+48}{3+4k^{2}}$$