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

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

Enrhifo

$$4\left(2m-3n\right)\left(3m-2n\right)$$

Camau Ateb

Cyfrifo 5 i bŵer 2 a chael 25.

$$25\left(m-n\right)^{2}-\left(m+n\right)^{2}$$

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

$$25\left(m^{2}-2mn+n^{2}\right)-\left(m+n\right)^{2}$$

Defnyddio’r briodwedd ddosbarthu i luosi 25 â m^{2}-2mn+n^{2}.

$$25m^{2}-50mn+25n^{2}-\left(m+n\right)^{2}$$

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

$$25m^{2}-50mn+25n^{2}-\left(m^{2}+2mn+n^{2}\right)$$

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

$$25m^{2}-50mn+25n^{2}-m^{2}-2mn-n^{2}$$

Cyfuno 25m^{2} a -m^{2} i gael 24m^{2}.

$$24m^{2}-50mn+25n^{2}-2mn-n^{2}$$

Cyfuno -50mn a -2mn i gael -52mn.

$$24m^{2}-52mn+25n^{2}-n^{2}$$

Cyfuno 25n^{2} a -n^{2} i gael 24n^{2}.

$$24m^{2}-52mn+24n^{2}$$

Ehangu

$$24m^{2}-52mn+24n^{2}$$

Camau Ateb

Cyfrifo 5 i bŵer 2 a chael 25.

$$25\left(m-n\right)^{2}-\left(m+n\right)^{2}$$

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

$$25\left(m^{2}-2mn+n^{2}\right)-\left(m+n\right)^{2}$$

Defnyddio’r briodwedd ddosbarthu i luosi 25 â m^{2}-2mn+n^{2}.

$$25m^{2}-50mn+25n^{2}-\left(m+n\right)^{2}$$

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

$$25m^{2}-50mn+25n^{2}-\left(m^{2}+2mn+n^{2}\right)$$

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

$$25m^{2}-50mn+25n^{2}-m^{2}-2mn-n^{2}$$

Cyfuno 25m^{2} a -m^{2} i gael 24m^{2}.

$$24m^{2}-50mn+25n^{2}-2mn-n^{2}$$

Cyfuno -50mn a -2mn i gael -52mn.

$$24m^{2}-52mn+25n^{2}-n^{2}$$

Cyfuno 25n^{2} a -n^{2} i gael 24n^{2}.

$$24m^{2}-52mn+24n^{2}$$