Whakaoti i te (x+3)(x+4)/(x+1)(x-1)*x^2(1+x)/x+4*x-1/3(x+3)

$$\frac { ( x + 3 ) ( x + 4 ) } { ( x + 1 ) ( x - 1 ) } \cdot \frac { x ^ { 2 } ( 1 + x ) } { x + 4 } \cdot \frac { x - 1 } { 3 ( x + 3 ) }$$

Aromātai

$$\frac{x^{2}}{3}$$

Ngā Hipanga Rongoā Poto

Whakamahia te āhuatanga tuaritanga hei whakarea te x+3 ki te x+4 ka whakakotahi i ngā kupu rite.

$$\frac{x^{2}+7x+12}{\left(x+1\right)\left(x-1\right)}\times \frac{x^{2}\left(1+x\right)}{x+4}\times \frac{x-1}{3\left(x+3\right)}$$

Whakaarohia te \left(x+1\right)\left(x-1\right). Ka taea te whakareanga te panoni ki te rerekētanga o ngā pūrua mā te ture: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}. Pūrua 1.

$$\frac{x^{2}+7x+12}{x^{2}-1}\times \frac{x^{2}\left(1+x\right)}{x+4}\times \frac{x-1}{3\left(x+3\right)}$$

Whakamahia te āhuatanga tohatoha hei whakarea te x^{2} ki te 1+x.

$$\frac{x^{2}+7x+12}{x^{2}-1}\times \frac{x^{2}+x^{3}}{x+4}\times \frac{x-1}{3\left(x+3\right)}$$

Whakamahia te āhuatanga tohatoha hei whakarea te 3 ki te x+3.

$$\frac{x^{2}+7x+12}{x^{2}-1}\times \frac{x^{2}+x^{3}}{x+4}\times \frac{x-1}{3x+9}$$

Me whakarea te \frac{x^{2}+7x+12}{x^{2}-1} ki te \frac{x^{2}+x^{3}}{x+4} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{\left(x^{2}+7x+12\right)\left(x^{2}+x^{3}\right)}{\left(x^{2}-1\right)\left(x+4\right)}\times \frac{x-1}{3x+9}$$

Me whakarea te \frac{\left(x^{2}+7x+12\right)\left(x^{2}+x^{3}\right)}{\left(x^{2}-1\right)\left(x+4\right)} ki te \frac{x-1}{3x+9} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{\left(x^{2}+7x+12\right)\left(x^{2}+x^{3}\right)\left(x-1\right)}{\left(x^{2}-1\right)\left(x+4\right)\left(3x+9\right)}$$

Me whakatauwehe ngā kīanga kāore anō i whakatauwehea.

$$\frac{\left(x-1\right)\left(x+1\right)\left(x+3\right)\left(x+4\right)x^{2}}{3\left(x-1\right)\left(x+1\right)\left(x+3\right)\left(x+4\right)}$$

Me whakakore tahi te \left(x-1\right)\left(x+1\right)\left(x+3\right)\left(x+4\right) i te taurunga me te tauraro.

$$\frac{x^{2}}{3}$$

Whakaroha

$$\frac{x^{2}}{3}$$

Ngā Hipanga Rongoā Poto

Whakamahia te āhuatanga tuaritanga hei whakarea te x+3 ki te x+4 ka whakakotahi i ngā kupu rite.

$$\frac{x^{2}+7x+12}{\left(x+1\right)\left(x-1\right)}\times \frac{x^{2}\left(1+x\right)}{x+4}\times \frac{x-1}{3\left(x+3\right)}$$

Whakaarohia te \left(x+1\right)\left(x-1\right). Ka taea te whakareanga te panoni ki te rerekētanga o ngā pūrua mā te ture: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}. Pūrua 1.

$$\frac{x^{2}+7x+12}{x^{2}-1}\times \frac{x^{2}\left(1+x\right)}{x+4}\times \frac{x-1}{3\left(x+3\right)}$$

Whakamahia te āhuatanga tohatoha hei whakarea te x^{2} ki te 1+x.

$$\frac{x^{2}+7x+12}{x^{2}-1}\times \frac{x^{2}+x^{3}}{x+4}\times \frac{x-1}{3\left(x+3\right)}$$

Whakamahia te āhuatanga tohatoha hei whakarea te 3 ki te x+3.

$$\frac{x^{2}+7x+12}{x^{2}-1}\times \frac{x^{2}+x^{3}}{x+4}\times \frac{x-1}{3x+9}$$

Me whakarea te \frac{x^{2}+7x+12}{x^{2}-1} ki te \frac{x^{2}+x^{3}}{x+4} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{\left(x^{2}+7x+12\right)\left(x^{2}+x^{3}\right)}{\left(x^{2}-1\right)\left(x+4\right)}\times \frac{x-1}{3x+9}$$

Me whakarea te \frac{\left(x^{2}+7x+12\right)\left(x^{2}+x^{3}\right)}{\left(x^{2}-1\right)\left(x+4\right)} ki te \frac{x-1}{3x+9} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{\left(x^{2}+7x+12\right)\left(x^{2}+x^{3}\right)\left(x-1\right)}{\left(x^{2}-1\right)\left(x+4\right)\left(3x+9\right)}$$

Me whakatauwehe ngā kīanga kāore anō i whakatauwehea.

$$\frac{\left(x-1\right)\left(x+1\right)\left(x+3\right)\left(x+4\right)x^{2}}{3\left(x-1\right)\left(x+1\right)\left(x+3\right)\left(x+4\right)}$$

Me whakakore tahi te \left(x-1\right)\left(x+1\right)\left(x+3\right)\left(x+4\right) i te taurunga me te tauraro.

$$\frac{x^{2}}{3}$$