Datrys (a+1+2y)^2-(a-1)(a+1)-(1+2y)^2-2a

$$( a + 1 + 2 y ) ^ { 2 } - ( a - 1 ) ( a + 1 ) - ( 1 + 2 y ) ^ { 2 } - 2 a$$

Enrhifo

$$4ay+1$$

Camau Ateb

Sgwâr a+1+2y.

$$4y^{2}+4ay+4y+a^{2}+2a+1-\left(a-1\right)\left(a+1\right)-\left(1+2y\right)^{2}-2a$$

Ystyriwch \left(a-1\right)\left(a+1\right). Gellir trawsnewid lluosi yn wahaniaeth rhwng sgwariau drwy ddefnyddio’r rheol: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}. Sgwâr 1.

$$4y^{2}+4ay+4y+a^{2}+2a+1-\left(a^{2}-1\right)-\left(1+2y\right)^{2}-2a$$

I ddod o hyd i wrthwyneb a^{2}-1, dewch o hyd i wrthwyneb pob term.

$$4y^{2}+4ay+4y+a^{2}+2a+1-a^{2}+1-\left(1+2y\right)^{2}-2a$$

Cyfuno a^{2} a -a^{2} i gael 0.

$$4y^{2}+4ay+4y+2a+1+1-\left(1+2y\right)^{2}-2a$$

Adio 1 a 1 i gael 2.

$$4y^{2}+4ay+4y+2a+2-\left(1+2y\right)^{2}-2a$$

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

$$4y^{2}+4ay+4y+2a+2-\left(1+4y+4y^{2}\right)-2a$$

I ddod o hyd i wrthwyneb 1+4y+4y^{2}, dewch o hyd i wrthwyneb pob term.

$$4y^{2}+4ay+4y+2a+2-1-4y-4y^{2}-2a$$

Tynnu 1 o 2 i gael 1.

$$4y^{2}+4ay+4y+2a+1-4y-4y^{2}-2a$$

Cyfuno 4y a -4y i gael 0.

$$4y^{2}+4ay+2a+1-4y^{2}-2a$$

Cyfuno 4y^{2} a -4y^{2} i gael 0.

$$4ay+2a+1-2a$$

Cyfuno 2a a -2a i gael 0.

$$4ay+1$$

Ehangu

$$4ay+1$$

Camau Ateb

Sgwâr a+1+2y.

$$4y^{2}+4ay+4y+a^{2}+2a+1-\left(a-1\right)\left(a+1\right)-\left(1+2y\right)^{2}-2a$$

Ystyriwch \left(a-1\right)\left(a+1\right). Gellir trawsnewid lluosi yn wahaniaeth rhwng sgwariau drwy ddefnyddio’r rheol: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}. Sgwâr 1.

$$4y^{2}+4ay+4y+a^{2}+2a+1-\left(a^{2}-1\right)-\left(1+2y\right)^{2}-2a$$

I ddod o hyd i wrthwyneb a^{2}-1, dewch o hyd i wrthwyneb pob term.

$$4y^{2}+4ay+4y+a^{2}+2a+1-a^{2}+1-\left(1+2y\right)^{2}-2a$$

Cyfuno a^{2} a -a^{2} i gael 0.

$$4y^{2}+4ay+4y+2a+1+1-\left(1+2y\right)^{2}-2a$$

Adio 1 a 1 i gael 2.

$$4y^{2}+4ay+4y+2a+2-\left(1+2y\right)^{2}-2a$$

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

$$4y^{2}+4ay+4y+2a+2-\left(1+4y+4y^{2}\right)-2a$$

I ddod o hyd i wrthwyneb 1+4y+4y^{2}, dewch o hyd i wrthwyneb pob term.

$$4y^{2}+4ay+4y+2a+2-1-4y-4y^{2}-2a$$

Tynnu 1 o 2 i gael 1.

$$4y^{2}+4ay+4y+2a+1-4y-4y^{2}-2a$$

Cyfuno 4y a -4y i gael 0.

$$4y^{2}+4ay+2a+1-4y^{2}-2a$$

Cyfuno 4y^{2} a -4y^{2} i gael 0.

$$4ay+2a+1-2a$$

Cyfuno 2a a -2a i gael 0.

$$4ay+1$$