Datrys frac{24x(x^{3}+1)^{3/2}-3x^{2}(12x^{2}x^{3}*(x^3+1)^3/2)}{16(x^3+1)^3/2}

$$\frac { 24 x ( x ^ { 3 } + 1 ) ^ { 3 / 2 } - 3 x ^ { 2 } ( 12 x ^ { 2 } x ^ { 3 } \cdot ( x ^ { 3 } + 1 ) ^ { 3 / 2 } ) } { 16 ( x ^ { 3 } + 1 ) ^ { 3 / 2 } }$$

Enrhifo

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

Camau Ateb Byr

Er mwyn lluosi pwerau sy’n rhannu’r un sail, adiwch eu esbonyddion. Adiwch 2 a 2 i gael 4.

$$\frac{24x\left(x^{3}+1\right)^{\frac{3}{2}}-3x^{4}\times 12x^{3}\left(x^{3}+1\right)^{\frac{3}{2}}}{16\left(x^{3}+1\right)^{\frac{3}{2}}}$$

Er mwyn lluosi pwerau sy’n rhannu’r un sail, adiwch eu esbonyddion. Adiwch 4 a 3 i gael 7.

$$\frac{24x\left(x^{3}+1\right)^{\frac{3}{2}}-3x^{7}\times 12\left(x^{3}+1\right)^{\frac{3}{2}}}{16\left(x^{3}+1\right)^{\frac{3}{2}}}$$

Lluosi 3 a 12 i gael 36.

$$\frac{24x\left(x^{3}+1\right)^{\frac{3}{2}}-36x^{7}\left(x^{3}+1\right)^{\frac{3}{2}}}{16\left(x^{3}+1\right)^{\frac{3}{2}}}$$

Dylech ffactoreiddio'r mynegiadau sydd heb eu ffactoreiddio eto.

$$\frac{12x\left(x^{3}+1\right)^{\frac{3}{2}}\left(-3x^{6}+2\right)}{16\left(x^{3}+1\right)^{\frac{3}{2}}}$$

Canslo 4\left(x^{3}+1\right)^{\frac{3}{2}} yn y rhifiadur a'r enwadur.

$$\frac{3x\left(-3x^{6}+2\right)}{4}$$

Ehangwch y mynegiad.

$$\frac{-9x^{7}+6x}{4}$$

Ffactor

$$\frac{3x\left(2-3x^{6}\right)}{4}$$

Camau Ateb

Er mwyn lluosi pwerau sy’n rhannu’r un sail, adiwch eu esbonyddion. Adiwch 2 a 2 i gael 4.

$$factor(\frac{24x\left(x^{3}+1\right)^{\frac{3}{2}}-3x^{4}\times 12x^{3}\left(x^{3}+1\right)^{\frac{3}{2}}}{16\left(x^{3}+1\right)^{\frac{3}{2}}})$$

Er mwyn lluosi pwerau sy’n rhannu’r un sail, adiwch eu esbonyddion. Adiwch 4 a 3 i gael 7.

$$factor(\frac{24x\left(x^{3}+1\right)^{\frac{3}{2}}-3x^{7}\times 12\left(x^{3}+1\right)^{\frac{3}{2}}}{16\left(x^{3}+1\right)^{\frac{3}{2}}})$$

Lluosi 3 a 12 i gael 36.

$$factor(\frac{24x\left(x^{3}+1\right)^{\frac{3}{2}}-36x^{7}\left(x^{3}+1\right)^{\frac{3}{2}}}{16\left(x^{3}+1\right)^{\frac{3}{2}}})$$

Dylech ffactoreiddio'r mynegiadau sydd heb eu ffactoreiddio eisoes yn \frac{24x\left(x^{3}+1\right)^{\frac{3}{2}}-36x^{7}\left(x^{3}+1\right)^{\frac{3}{2}}}{16\left(x^{3}+1\right)^{\frac{3}{2}}}.

$$factor(\frac{12x\left(x^{3}+1\right)^{\frac{3}{2}}\left(-3x^{6}+2\right)}{16\left(x^{3}+1\right)^{\frac{3}{2}}})$$

Canslo 4\left(x^{3}+1\right)^{\frac{3}{2}} yn y rhifiadur a'r enwadur.

$$factor(\frac{3x\left(-3x^{6}+2\right)}{4})$$

Defnyddio’r briodwedd ddosbarthu i luosi 3x â -3x^{6}+2.

$$factor(\frac{-9x^{7}+6x}{4})$$

Ystyriwch -9x^{7}+6x. Ffactora allan 3.

$$3\left(-3x^{7}+2x\right)$$

Ystyriwch -3x^{7}+2x. Ffactora allan x.

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

Ailysgrifennwch y mynegiad cyfan wedi'i ffactorio. Symleiddio. Nid yw'r polynomial -3x^{6}+2 yn cael ei ffactorio oherwydd does dim gwreiddiau rhesymegol ganddo.

$$\frac{3x\left(-3x^{6}+2\right)}{4}$$