Datrys 4x-y(7x+4y)-(2x+8y)(2x+5y)

$$4 x - y ( 7 x + 4 y ) - ( 2 x + 8 y ) ( 2 x + 5 y )$$

Enrhifo

$$4x-44y^{2}-33xy-4x^{2}$$

Camau Ateb

Defnyddio’r briodwedd ddosbarthu i luosi y â 7x+4y.

$$4x-\left(7yx+4y^{2}\right)-\left(2x+8y\right)\left(2x+5y\right)$$

I ddod o hyd i wrthwyneb 7yx+4y^{2}, dewch o hyd i wrthwyneb pob term.

$$4x-7yx-4y^{2}-\left(2x+8y\right)\left(2x+5y\right)$$

Cyfrifwch y briodoledd ddosrannol drwy luosi pob 2x+8y gan bob 2x+5y.

$$4x-7yx-4y^{2}-\left(4x^{2}+10xy+16yx+40y^{2}\right)$$

Cyfuno 10xy a 16yx i gael 26xy.

$$4x-7yx-4y^{2}-\left(4x^{2}+26xy+40y^{2}\right)$$

I ddod o hyd i wrthwyneb 4x^{2}+26xy+40y^{2}, dewch o hyd i wrthwyneb pob term.

$$4x-7yx-4y^{2}-4x^{2}-26xy-40y^{2}$$

Cyfuno -7yx a -26xy i gael -33yx.

$$4x-33yx-4y^{2}-4x^{2}-40y^{2}$$

Cyfuno -4y^{2} a -40y^{2} i gael -44y^{2}.

$$4x-33yx-44y^{2}-4x^{2}$$

Ehangu

$$4x-44y^{2}-33xy-4x^{2}$$

Camau Ateb

Defnyddio’r briodwedd ddosbarthu i luosi y â 7x+4y.

$$4x-\left(7yx+4y^{2}\right)-\left(2x+8y\right)\left(2x+5y\right)$$

I ddod o hyd i wrthwyneb 7yx+4y^{2}, dewch o hyd i wrthwyneb pob term.

$$4x-7yx-4y^{2}-\left(2x+8y\right)\left(2x+5y\right)$$

Cyfrifwch y briodoledd ddosrannol drwy luosi pob 2x+8y gan bob 2x+5y.

$$4x-7yx-4y^{2}-\left(4x^{2}+10xy+16yx+40y^{2}\right)$$

Cyfuno 10xy a 16yx i gael 26xy.

$$4x-7yx-4y^{2}-\left(4x^{2}+26xy+40y^{2}\right)$$

I ddod o hyd i wrthwyneb 4x^{2}+26xy+40y^{2}, dewch o hyd i wrthwyneb pob term.

$$4x-7yx-4y^{2}-4x^{2}-26xy-40y^{2}$$

Cyfuno -7yx a -26xy i gael -33yx.

$$4x-33yx-4y^{2}-4x^{2}-40y^{2}$$

Cyfuno -4y^{2} a -40y^{2} i gael -44y^{2}.

$$4x-33yx-44y^{2}-4x^{2}$$