Datrys x-x*45/82^23-sqrt{2*2div5}

$$x-x \times \frac{ 45 }{ { 82 }^{ 2 } 3- \sqrt{ 2 \times 2 \div 5 } }$$

Ffactor

$$\frac{\left(1015004608-45\sqrt{5}\right)x}{1017273958}$$

Camau Ateb

Cyfrifo 82 i bŵer 2 a chael 6724.

$$factor(x-x\times \frac{45}{6724\times 3-\sqrt{\frac{2\times 2}{5}}})$$

Lluosi 6724 a 3 i gael 20172.

$$factor(x-x\times \frac{45}{20172-\sqrt{\frac{2\times 2}{5}}})$$

Lluosi 2 a 2 i gael 4.

$$factor(x-x\times \frac{45}{20172-\sqrt{\frac{4}{5}}})$$

Ailysgrifennu ail isradd y rhaniad \sqrt{\frac{4}{5}} fel rhaniad ail israddau \frac{\sqrt{4}}{\sqrt{5}}.

$$factor(x-x\times \frac{45}{20172-\frac{\sqrt{4}}{\sqrt{5}}})$$

Cyfrifo ail isradd 4 a chael 2.

$$factor(x-x\times \frac{45}{20172-\frac{2}{\sqrt{5}}})$$

Mae'n rhesymoli enwadur \frac{2}{\sqrt{5}} drwy luosi'r rhifiadur a'r enwadur â \sqrt{5}.

$$factor(x-x\times \frac{45}{20172-\frac{2\sqrt{5}}{\left(\sqrt{5}\right)^{2}}})$$

Sgwâr \sqrt{5} yw 5.

$$factor(x-x\times \frac{45}{20172-\frac{2\sqrt{5}}{5}})$$

I ychwanegu neu dynnu mynegiannau, rhaid i chi eu ehangu i wneud eu enwaduron yr un fath. Lluoswch 20172 â \frac{5}{5}.

$$factor(x-x\times \frac{45}{\frac{20172\times 5}{5}-\frac{2\sqrt{5}}{5}})$$

Gan fod gan \frac{20172\times 5}{5} a \frac{2\sqrt{5}}{5} yr un dynodydd, tynnwch nhw drwy dynnu eu rhifiaduron.

$$factor(x-x\times \frac{45}{\frac{20172\times 5-2\sqrt{5}}{5}})$$

Gwnewch y gwaith lluosi yn 20172\times 5-2\sqrt{5}.

$$factor(x-x\times \frac{45}{\frac{100860-2\sqrt{5}}{5}})$$

Rhannwch 45 â \frac{100860-2\sqrt{5}}{5} drwy luosi 45 â chilydd \frac{100860-2\sqrt{5}}{5}.

$$factor(x-x\times \frac{45\times 5}{100860-2\sqrt{5}})$$

Mae'n rhesymoli enwadur \frac{45\times 5}{100860-2\sqrt{5}} drwy luosi'r rhifiadur a'r enwadur â 100860+2\sqrt{5}.

$$factor(x-x\times \frac{45\times 5\left(100860+2\sqrt{5}\right)}{\left(100860-2\sqrt{5}\right)\left(100860+2\sqrt{5}\right)})$$

Ystyriwch \left(100860-2\sqrt{5}\right)\left(100860+2\sqrt{5}\right). Gellir trawsnewid lluosi yn wahaniaeth rhwng sgwariau drwy ddefnyddio’r rheol: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.

$$factor(x-x\times \frac{45\times 5\left(100860+2\sqrt{5}\right)}{100860^{2}-\left(-2\sqrt{5}\right)^{2}})$$

Lluosi 45 a 5 i gael 225.

$$factor(x-x\times \frac{225\left(100860+2\sqrt{5}\right)}{100860^{2}-\left(-2\sqrt{5}\right)^{2}})$$

Cyfrifo 100860 i bŵer 2 a chael 10172739600.

$$factor(x-x\times \frac{225\left(100860+2\sqrt{5}\right)}{10172739600-\left(-2\sqrt{5}\right)^{2}})$$

Ehangu \left(-2\sqrt{5}\right)^{2}.

$$factor(x-x\times \frac{225\left(100860+2\sqrt{5}\right)}{10172739600-\left(-2\right)^{2}\left(\sqrt{5}\right)^{2}})$$

Cyfrifo -2 i bŵer 2 a chael 4.

$$factor(x-x\times \frac{225\left(100860+2\sqrt{5}\right)}{10172739600-4\left(\sqrt{5}\right)^{2}})$$

Sgwâr \sqrt{5} yw 5.

$$factor(x-x\times \frac{225\left(100860+2\sqrt{5}\right)}{10172739600-4\times 5})$$

Lluosi 4 a 5 i gael 20.

$$factor(x-x\times \frac{225\left(100860+2\sqrt{5}\right)}{10172739600-20})$$

Tynnu 20 o 10172739600 i gael 10172739580.

$$factor(x-x\times \frac{225\left(100860+2\sqrt{5}\right)}{10172739580})$$

Rhannu 225\left(100860+2\sqrt{5}\right) â 10172739580 i gael \frac{45}{2034547916}\left(100860+2\sqrt{5}\right).

$$factor(x-x\times \frac{45}{2034547916}\left(100860+2\sqrt{5}\right))$$

Defnyddio’r briodwedd ddosbarthu i luosi \frac{45}{2034547916} â 100860+2\sqrt{5}.

$$factor(x-x\left(\frac{45}{2034547916}\times 100860+\frac{45}{2034547916}\times 2\sqrt{5}\right))$$

Mynegwch \frac{45}{2034547916}\times 100860 fel ffracsiwn unigol.

$$factor(x-x\left(\frac{45\times 100860}{2034547916}+\frac{45}{2034547916}\times 2\sqrt{5}\right))$$

Lluosi 45 a 100860 i gael 4538700.

$$factor(x-x\left(\frac{4538700}{2034547916}+\frac{45}{2034547916}\times 2\sqrt{5}\right))$$

Lleihau'r ffracsiwn \frac{4538700}{2034547916} i'r graddau lleiaf posib drwy dynnu a chanslo allan 4.

$$factor(x-x\left(\frac{1134675}{508636979}+\frac{45}{2034547916}\times 2\sqrt{5}\right))$$

Mynegwch \frac{45}{2034547916}\times 2 fel ffracsiwn unigol.

$$factor(x-x\left(\frac{1134675}{508636979}+\frac{45\times 2}{2034547916}\sqrt{5}\right))$$

Lluosi 45 a 2 i gael 90.

$$factor(x-x\left(\frac{1134675}{508636979}+\frac{90}{2034547916}\sqrt{5}\right))$$

Lleihau'r ffracsiwn \frac{90}{2034547916} i'r graddau lleiaf posib drwy dynnu a chanslo allan 2.

$$factor(x-x\left(\frac{1134675}{508636979}+\frac{45}{1017273958}\sqrt{5}\right))$$

Defnyddio’r briodwedd ddosbarthu i luosi x â \frac{1134675}{508636979}+\frac{45}{1017273958}\sqrt{5}.

$$factor(x-\left(x\times \frac{1134675}{508636979}+x\times \frac{45}{1017273958}\sqrt{5}\right))$$

I ddod o hyd i wrthwyneb x\times \frac{1134675}{508636979}+x\times \frac{45}{1017273958}\sqrt{5}, dewch o hyd i wrthwyneb pob term.

$$factor(x-x\times \frac{1134675}{508636979}-x\times \frac{45}{1017273958}\sqrt{5})$$

Lluosi -1 a \frac{1134675}{508636979} i gael -\frac{1134675}{508636979}.

$$factor(x-\frac{1134675}{508636979}x-x\times \frac{45}{1017273958}\sqrt{5})$$

Cyfuno x a -\frac{1134675}{508636979}x i gael \frac{507502304}{508636979}x.

$$factor(\frac{507502304}{508636979}x-x\times \frac{45}{1017273958}\sqrt{5})$$

Lluosi -1 a \frac{45}{1017273958} i gael -\frac{45}{1017273958}.

$$factor(\frac{507502304}{508636979}x-\frac{45}{1017273958}x\sqrt{5})$$

Ffactora allan \frac{1}{1017273958}.

$$\frac{1015004608x-45x\sqrt{5}}{1017273958}$$

Ystyriwch 1015004608x-45x\sqrt{5}. Ffactora allan x.

$$x\left(1015004608-45\sqrt{5}\right)$$

Ailysgrifennwch y mynegiad cyfan wedi'i ffactorio.

$$\frac{x\left(1015004608-45\sqrt{5}\right)}{1017273958}$$

Enrhifo

$$\frac{\left(1015004608-45\sqrt{5}\right)x}{1017273958}$$