Whakaoti i te [4(h+x)^2-16/(h+x)-2]-[4x^2-16/x-2]

$$[ \frac { 4 ( h + x ) ^ { 2 } - 16 } { ( h + x ) - 2 } ] - [ \frac { 4 x ^ { 2 } - 16 } { x - 2 } ]$$

Aromātai

$$4h$$

Ngā Hipanga Rongoā Poto

Me whakatauwehe ngā kīanga kāore anō i whakatauwehea i roto o \frac{4\left(h+x\right)^{2}-16}{h+x-2}.

$$\frac{4\left(x+h-2\right)\left(x+h+2\right)}{x+h-2}-\frac{4x^{2}-16}{x-2}$$

Me whakakore tahi te x+h-2 i te taurunga me te tauraro.

$$4\left(x+h+2\right)-\frac{4x^{2}-16}{x-2}$$

Me whakaroha te kīanga.

$$4x+4h+8-\frac{4x^{2}-16}{x-2}$$

Me whakatauwehe ngā kīanga kāore anō i whakatauwehea i roto o \frac{4x^{2}-16}{x-2}.

$$4x+4h+8-\frac{4\left(x-2\right)\left(x+2\right)}{x-2}$$

Me whakakore tahi te x-2 i te taurunga me te tauraro.

$$4x+4h+8-4\left(x+2\right)$$

Me whakaroha te kīanga.

$$4x+4h+8-\left(4x+8\right)$$

Hei kimi i te tauaro o 4x+8, kimihia te tauaro o ia taurangi.

$$4x+4h+8-4x-8$$

Pahekotia te 4x me -4x, ka 0.

$$4h+8-8$$

Tangohia te 8 i te 8, ka 0.

$$4h$$

Whakaroha

$$4h$$

Ngā Hipanga Rongoā Poto

Me whakatauwehe ngā kīanga kāore anō i whakatauwehea i roto o \frac{4\left(h+x\right)^{2}-16}{h+x-2}.

$$\frac{4\left(x+h-2\right)\left(x+h+2\right)}{x+h-2}-\frac{4x^{2}-16}{x-2}$$

Me whakakore tahi te x+h-2 i te taurunga me te tauraro.

$$4\left(x+h+2\right)-\frac{4x^{2}-16}{x-2}$$

Me whakaroha te kīanga.

$$4x+4h+8-\frac{4x^{2}-16}{x-2}$$

Me whakatauwehe ngā kīanga kāore anō i whakatauwehea i roto o \frac{4x^{2}-16}{x-2}.

$$4x+4h+8-\frac{4\left(x-2\right)\left(x+2\right)}{x-2}$$

Me whakakore tahi te x-2 i te taurunga me te tauraro.

$$4x+4h+8-4\left(x+2\right)$$

Me whakaroha te kīanga.

$$4x+4h+8-\left(4x+8\right)$$

Hei kimi i te tauaro o 4x+8, kimihia te tauaro o ia taurangi.

$$4x+4h+8-4x-8$$

Pahekotia te 4x me -4x, ka 0.

$$4h+8-8$$

Tangohia te 8 i te 8, ka 0.

$$4h$$