Datrys 8x^2/32x^2+32x

$$\frac { 8 x ^ { 2 } } { 32 x ^ { 2 } + 32 x }$$

Enrhifo

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

Camau Ateb Byr

Dylech ffactoreiddio'r mynegiadau sydd heb eu ffactoreiddio eto.

$$\frac{8x^{2}}{32x\left(x+1\right)}$$

Canslo 8x yn y rhifiadur a'r enwadur.

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

Ehangwch y mynegiad.

$$\frac{x}{4x+4}$$

Gwahaniaethu w.r.t. x

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

Camau gan Ddefnyddio Rheol Deilliadol ar gyfer Cyniferydd

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.

$$\frac{\left(32x^{2}+32x^{1}\right)\frac{\mathrm{d}}{\mathrm{d}x}(8x^{2})-8x^{2}\frac{\mathrm{d}}{\mathrm{d}x}(32x^{2}+32x^{1})}{\left(32x^{2}+32x^{1}\right)^{2}}$$

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

$$\frac{\left(32x^{2}+32x^{1}\right)\times 2\times 8x^{2-1}-8x^{2}\left(2\times 32x^{2-1}+32x^{1-1}\right)}{\left(32x^{2}+32x^{1}\right)^{2}}$$

Symleiddio.

$$\frac{\left(32x^{2}+32x^{1}\right)\times 16x^{1}-8x^{2}\left(64x^{1}+32x^{0}\right)}{\left(32x^{2}+32x^{1}\right)^{2}}$$

Lluoswch 32x^{2}+32x^{1} â 16x^{1}.

$$\frac{32x^{2}\times 16x^{1}+32x^{1}\times 16x^{1}-8x^{2}\left(64x^{1}+32x^{0}\right)}{\left(32x^{2}+32x^{1}\right)^{2}}$$

Lluoswch 8x^{2} â 64x^{1}+32x^{0}.

$$\frac{32x^{2}\times 16x^{1}+32x^{1}\times 16x^{1}-\left(8x^{2}\times 64x^{1}+8x^{2}\times 32x^{0}\right)}{\left(32x^{2}+32x^{1}\right)^{2}}$$

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

$$\frac{32\times 16x^{2+1}+32\times 16x^{1+1}-\left(8\times 64x^{2+1}+8\times 32x^{2}\right)}{\left(32x^{2}+32x^{1}\right)^{2}}$$

Symleiddio.

$$\frac{512x^{3}+512x^{2}-\left(512x^{3}+256x^{2}\right)}{\left(32x^{2}+32x^{1}\right)^{2}}$$

Cyfuno termau sydd yr un peth.

$$\frac{256x^{2}}{\left(32x^{2}+32x^{1}\right)^{2}}$$

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

$$\frac{256x^{2}}{\left(32x^{2}+32x\right)^{2}}$$