Whakaoti i te frac{x^{2}-8x+15}{5x^2+10x}divx^2-9/10x^2*x^2+5x+6/2x-10

$$\frac { x ^ { 2 } - 8 x + 15 } { 5 x ^ { 2 } + 10 x } \div \frac { x ^ { 2 } - 9 } { 10 x ^ { 2 } } \times \frac { x ^ { 2 } + 5 x + 6 } { 2 x - 10 }$$

Aromātai

$$x$$

Ngā Hipanga Rongoā Poto

Whakawehe \frac{x^{2}-8x+15}{5x^{2}+10x} ki te \frac{x^{2}-9}{10x^{2}} mā te whakarea \frac{x^{2}-8x+15}{5x^{2}+10x} ki te tau huripoki o \frac{x^{2}-9}{10x^{2}}.

$$\frac{\left(x^{2}-8x+15\right)\times 10x^{2}}{\left(5x^{2}+10x\right)\left(x^{2}-9\right)}\times \frac{x^{2}+5x+6}{2x-10}$$

Me whakatauwehe ngā kīanga kāore anō i whakatauwehea i roto o \frac{\left(x^{2}-8x+15\right)\times 10x^{2}}{\left(5x^{2}+10x\right)\left(x^{2}-9\right)}.

$$\frac{10\left(x-5\right)\left(x-3\right)x^{2}}{5x\left(x-3\right)\left(x+2\right)\left(x+3\right)}\times \frac{x^{2}+5x+6}{2x-10}$$

Me whakakore tahi te 5x\left(x-3\right) i te taurunga me te tauraro.

$$\frac{2x\left(x-5\right)}{\left(x+2\right)\left(x+3\right)}\times \frac{x^{2}+5x+6}{2x-10}$$

Me whakarea te \frac{2x\left(x-5\right)}{\left(x+2\right)\left(x+3\right)} ki te \frac{x^{2}+5x+6}{2x-10} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{2x\left(x-5\right)\left(x^{2}+5x+6\right)}{\left(x+2\right)\left(x+3\right)\left(2x-10\right)}$$

Me whakatauwehe ngā kīanga kāore anō i whakatauwehea.

$$\frac{2x\left(x-5\right)\left(x+2\right)\left(x+3\right)}{2\left(x-5\right)\left(x+2\right)\left(x+3\right)}$$

Me whakakore tahi te 2\left(x-5\right)\left(x+2\right)\left(x+3\right) i te taurunga me te tauraro.

$$x$$

Kimi Pārōnaki e ai ki x

$$1$$

Ngā Upane e Whakamahi ana i te Tautuhinga o te Pārōnaki

Whakawehe \frac{x^{2}-8x+15}{5x^{2}+10x} ki te \frac{x^{2}-9}{10x^{2}} mā te whakarea \frac{x^{2}-8x+15}{5x^{2}+10x} ki te tau huripoki o \frac{x^{2}-9}{10x^{2}}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{\left(x^{2}-8x+15\right)\times 10x^{2}}{\left(5x^{2}+10x\right)\left(x^{2}-9\right)}\times \frac{x^{2}+5x+6}{2x-10})$$

Me whakatauwehe ngā kīanga kāore anō i whakatauwehea i roto o \frac{\left(x^{2}-8x+15\right)\times 10x^{2}}{\left(5x^{2}+10x\right)\left(x^{2}-9\right)}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{10\left(x-5\right)\left(x-3\right)x^{2}}{5x\left(x-3\right)\left(x+2\right)\left(x+3\right)}\times \frac{x^{2}+5x+6}{2x-10})$$

Me whakakore tahi te 5x\left(x-3\right) i te taurunga me te tauraro.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{2x\left(x-5\right)}{\left(x+2\right)\left(x+3\right)}\times \frac{x^{2}+5x+6}{2x-10})$$

Me whakarea te \frac{2x\left(x-5\right)}{\left(x+2\right)\left(x+3\right)} ki te \frac{x^{2}+5x+6}{2x-10} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{2x\left(x-5\right)\left(x^{2}+5x+6\right)}{\left(x+2\right)\left(x+3\right)\left(2x-10\right)})$$

Me whakatauwehe ngā kīanga kāore anō i whakatauwehea i roto o \frac{2x\left(x-5\right)\left(x^{2}+5x+6\right)}{\left(x+2\right)\left(x+3\right)\left(2x-10\right)}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{2x\left(x-5\right)\left(x+2\right)\left(x+3\right)}{2\left(x-5\right)\left(x+2\right)\left(x+3\right)})$$

Me whakakore tahi te 2\left(x-5\right)\left(x+2\right)\left(x+3\right) i te taurunga me te tauraro.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x)$$

Ko te pārōnaki o ax^{n} ko nax^{n-1}.

$$x^{1-1}$$

Tango 1 mai i 1.

$$x^{0}$$

Mō tētahi kupu t mahue te 0, t^{0}=1.

$$1$$