Datrys (x+2)-4/x-1

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

Enrhifo

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

Camau Ateb Byr

I ychwanegu neu dynnu mynegiannau, rhaid i chi eu ehangu i wneud eu enwaduron yr un fath. Lluoswch x+2 â \frac{x-1}{x-1}.

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

Gan fod gan \frac{\left(x+2\right)\left(x-1\right)}{x-1} a \frac{4}{x-1} yr un dynodydd, tynnwch nhw drwy dynnu eu rhifiaduron.

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

Gwnewch y gwaith lluosi yn \left(x+2\right)\left(x-1\right)-4.

$$\frac{x^{2}-x+2x-2-4}{x-1}$$

Cyfuno termau tebyg yn x^{2}-x+2x-2-4.

$$\frac{x^{2}+x-6}{x-1}$$

Gwahaniaethu w.r.t. x

$$\frac{x^{2}-2x+5}{\left(x-1\right)^{2}}$$

Camau gan Ddefnyddio Rheol Deilliadol ar gyfer Cyniferydd

I ychwanegu neu dynnu mynegiannau, rhaid i chi eu ehangu i wneud eu enwaduron yr un fath. Lluoswch x+2 â \frac{x-1}{x-1}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{\left(x+2\right)\left(x-1\right)}{x-1}-\frac{4}{x-1})$$

Gan fod gan \frac{\left(x+2\right)\left(x-1\right)}{x-1} a \frac{4}{x-1} yr un dynodydd, tynnwch nhw drwy dynnu eu rhifiaduron.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{\left(x+2\right)\left(x-1\right)-4}{x-1})$$

Gwnewch y gwaith lluosi yn \left(x+2\right)\left(x-1\right)-4.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x^{2}-x+2x-2-4}{x-1})$$

Cyfuno termau tebyg yn x^{2}-x+2x-2-4.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x^{2}+x-6}{x-1})$$

Ar gyfer unrhyw ddau ffwythiant y mae modd eu gwahaniaethu, deilliad cyniferydd dau ffwythiant yw’r enwadur wedi’i luosi â deilliad yr enwadur wedi’i dynnu o’r rhifiadur wedi’i luosi â deilliad yr enwadur, y cwbl wedi’i rannu â’r enwadur wedi'i sgwario.

$$\frac{\left(x^{1}-1\right)\frac{\mathrm{d}}{\mathrm{d}x}(x^{2}+x^{1}-6)-\left(x^{2}+x^{1}-6\right)\frac{\mathrm{d}}{\mathrm{d}x}(x^{1}-1)}{\left(x^{1}-1\right)^{2}}$$

Deilliad polynomaial yw swm deilliadau ei dermau. Deilliad term cyson yw 0. Y deilliad o ax^{n} yw nax^{n-1}.

$$\frac{\left(x^{1}-1\right)\left(2x^{2-1}+x^{1-1}\right)-\left(x^{2}+x^{1}-6\right)x^{1-1}}{\left(x^{1}-1\right)^{2}}$$

Symleiddio.

$$\frac{\left(x^{1}-1\right)\left(2x^{1}+x^{0}\right)-\left(x^{2}+x^{1}-6\right)x^{0}}{\left(x^{1}-1\right)^{2}}$$

Lluoswch x^{1}-1 â 2x^{1}+x^{0}.

$$\frac{x^{1}\times 2x^{1}+x^{1}x^{0}-2x^{1}-x^{0}-\left(x^{2}+x^{1}-6\right)x^{0}}{\left(x^{1}-1\right)^{2}}$$

Lluoswch x^{2}+x^{1}-6 â x^{0}.

$$\frac{x^{1}\times 2x^{1}+x^{1}x^{0}-2x^{1}-x^{0}-\left(x^{2}x^{0}+x^{1}x^{0}-6x^{0}\right)}{\left(x^{1}-1\right)^{2}}$$

I luosi pwerau sy’n rhannu’r un sail, ychwanegwch eu hesbonyddion.

$$\frac{2x^{1+1}+x^{1}-2x^{1}-x^{0}-\left(x^{2}+x^{1}-6x^{0}\right)}{\left(x^{1}-1\right)^{2}}$$

Symleiddio.

$$\frac{2x^{2}+x^{1}-2x^{1}-x^{0}-\left(x^{2}+x^{1}-6x^{0}\right)}{\left(x^{1}-1\right)^{2}}$$

Cyfuno termau sydd yr un peth.

$$\frac{x^{2}-2x^{1}+5x^{0}}{\left(x^{1}-1\right)^{2}}$$

Ar gyfer unrhyw derm t, t^{1}=t.

$$\frac{x^{2}-2x+5x^{0}}{\left(x-1\right)^{2}}$$

Ar gyfer unrhyw derm t ac eithrio 0, t^{0}=1.

$$\frac{x^{2}-2x+5\times 1}{\left(x-1\right)^{2}}$$

Ar gyfer unrhyw derm t, t\times 1=t a 1t=t.

$$\frac{x^{2}-2x+5}{\left(x-1\right)^{2}}$$