Datrys (5m-m)^2-(m+n)^2

$$( 5 m - m ) ^ { 2 } - ( m + n ) ^ { 2 }$$

Enrhifo

$$\left(3m-n\right)\left(5m+n\right)$$

Camau Ateb

Cyfuno 5m a -m i gael 4m.

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

Ehangu \left(4m\right)^{2}.

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

Cyfrifo 4 i bŵer 2 a chael 16.

$$16m^{2}-\left(m+n\right)^{2}$$

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

$$16m^{2}-\left(m^{2}+2mn+n^{2}\right)$$

I ddod o hyd i wrthwyneb m^{2}+2mn+n^{2}, dewch o hyd i wrthwyneb pob term.

$$16m^{2}-m^{2}-2mn-n^{2}$$

Cyfuno 16m^{2} a -m^{2} i gael 15m^{2}.

$$15m^{2}-2mn-n^{2}$$

Ehangu

$$15m^{2}-2mn-n^{2}$$

Camau Ateb

Cyfuno 5m a -m i gael 4m.

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

Ehangu \left(4m\right)^{2}.

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

Cyfrifo 4 i bŵer 2 a chael 16.

$$16m^{2}-\left(m+n\right)^{2}$$

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

$$16m^{2}-\left(m^{2}+2mn+n^{2}\right)$$

I ddod o hyd i wrthwyneb m^{2}+2mn+n^{2}, dewch o hyd i wrthwyneb pob term.

$$16m^{2}-m^{2}-2mn-n^{2}$$

Cyfuno 16m^{2} a -m^{2} i gael 15m^{2}.

$$15m^{2}-2mn-n^{2}$$