Datrys (x+2y)^2-(x-y)*(x+2y)

$$( x + 2 y ) ^ { 2 } - ( x - y ) \cdot ( x + 2 y )$$

Enrhifo

$$3y\left(x+2y\right)$$

Camau Ateb

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

$$x^{2}+4xy+4y^{2}-\left(x-y\right)\left(x+2y\right)$$

Defnyddio’r briodwedd ddosbarthu i luosi x-y â x+2y a chyfuno termau tebyg.

$$x^{2}+4xy+4y^{2}-\left(x^{2}+xy-2y^{2}\right)$$

I ddod o hyd i wrthwyneb x^{2}+xy-2y^{2}, dewch o hyd i wrthwyneb pob term.

$$x^{2}+4xy+4y^{2}-x^{2}-xy+2y^{2}$$

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

$$4xy+4y^{2}-xy+2y^{2}$$

Cyfuno 4xy a -xy i gael 3xy.

$$3xy+4y^{2}+2y^{2}$$

Cyfuno 4y^{2} a 2y^{2} i gael 6y^{2}.

$$3xy+6y^{2}$$

Ehangu

$$3xy+6y^{2}$$

Camau Ateb

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

$$x^{2}+4xy+4y^{2}-\left(x-y\right)\left(x+2y\right)$$

Defnyddio’r briodwedd ddosbarthu i luosi x-y â x+2y a chyfuno termau tebyg.

$$x^{2}+4xy+4y^{2}-\left(x^{2}+xy-2y^{2}\right)$$

I ddod o hyd i wrthwyneb x^{2}+xy-2y^{2}, dewch o hyd i wrthwyneb pob term.

$$x^{2}+4xy+4y^{2}-x^{2}-xy+2y^{2}$$

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

$$4xy+4y^{2}-xy+2y^{2}$$

Cyfuno 4xy a -xy i gael 3xy.

$$3xy+4y^{2}+2y^{2}$$

Cyfuno 4y^{2} a 2y^{2} i gael 6y^{2}.

$$3xy+6y^{2}$$