Datrys ((n+1)^2-1)^2+(2n+2)^2

$$( ( n + 1 ) ^ { 2 } - 1 ) ^ { 2 } + ( 2 n + 2 ) ^ { 2 }$$

Enrhifo

$$\left(n^{2}+2n+2\right)^{2}$$

Camau Ateb

Defnyddio'r theorem binomaidd \left(a+b\right)^{2}=a^{2}+2ab+b^{2} i ehangu'r \left(n+1\right)^{2}.

$$\left(n^{2}+2n+1-1\right)^{2}+\left(2n+2\right)^{2}$$

Tynnu 1 o 1 i gael 0.

$$\left(n^{2}+2n\right)^{2}+\left(2n+2\right)^{2}$$

Defnyddio'r theorem binomaidd \left(a+b\right)^{2}=a^{2}+2ab+b^{2} i ehangu'r \left(n^{2}+2n\right)^{2}.

$$\left(n^{2}\right)^{2}+4n^{2}n+4n^{2}+\left(2n+2\right)^{2}$$

I godi pŵer rhif i bŵer arall, lluoswch yr esbonyddion. Lluoswch 2 a 2 i gael 4.

$$n^{4}+4n^{2}n+4n^{2}+\left(2n+2\right)^{2}$$

Er mwyn lluosi pwerau sy’n rhannu’r un sail, adiwch eu esbonyddion. Adiwch 2 a 1 i gael 3.

$$n^{4}+4n^{3}+4n^{2}+\left(2n+2\right)^{2}$$

Defnyddio'r theorem binomaidd \left(a+b\right)^{2}=a^{2}+2ab+b^{2} i ehangu'r \left(2n+2\right)^{2}.

$$n^{4}+4n^{3}+4n^{2}+4n^{2}+8n+4$$

Cyfuno 4n^{2} a 4n^{2} i gael 8n^{2}.

$$n^{4}+4n^{3}+8n^{2}+8n+4$$

Ehangu

$$n^{4}+4n^{3}+8n^{2}+8n+4$$

Camau Ateb

Defnyddio'r theorem binomaidd \left(a+b\right)^{2}=a^{2}+2ab+b^{2} i ehangu'r \left(n+1\right)^{2}.

$$\left(n^{2}+2n+1-1\right)^{2}+\left(2n+2\right)^{2}$$

Tynnu 1 o 1 i gael 0.

$$\left(n^{2}+2n\right)^{2}+\left(2n+2\right)^{2}$$

Defnyddio'r theorem binomaidd \left(a+b\right)^{2}=a^{2}+2ab+b^{2} i ehangu'r \left(n^{2}+2n\right)^{2}.

$$\left(n^{2}\right)^{2}+4n^{2}n+4n^{2}+\left(2n+2\right)^{2}$$

I godi pŵer rhif i bŵer arall, lluoswch yr esbonyddion. Lluoswch 2 a 2 i gael 4.

$$n^{4}+4n^{2}n+4n^{2}+\left(2n+2\right)^{2}$$

Er mwyn lluosi pwerau sy’n rhannu’r un sail, adiwch eu esbonyddion. Adiwch 2 a 1 i gael 3.

$$n^{4}+4n^{3}+4n^{2}+\left(2n+2\right)^{2}$$

Defnyddio'r theorem binomaidd \left(a+b\right)^{2}=a^{2}+2ab+b^{2} i ehangu'r \left(2n+2\right)^{2}.

$$n^{4}+4n^{3}+4n^{2}+4n^{2}+8n+4$$

Cyfuno 4n^{2} a 4n^{2} i gael 8n^{2}.

$$n^{4}+4n^{3}+8n^{2}+8n+4$$