Datrys 16(x-2y)^2-9(x+y)^2

$$16 ( x - 2 y ) ^ { 2 } - 9 ( x + y ) ^ { 2 }$$

Enrhifo

$$\left(x-11y\right)\left(7x-5y\right)$$

Camau Ateb

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

$$16\left(x^{2}-4xy+4y^{2}\right)-9\left(x+y\right)^{2}$$

Defnyddio’r briodwedd ddosbarthu i luosi 16 â x^{2}-4xy+4y^{2}.

$$16x^{2}-64xy+64y^{2}-9\left(x+y\right)^{2}$$

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

$$16x^{2}-64xy+64y^{2}-9\left(x^{2}+2xy+y^{2}\right)$$

Defnyddio’r briodwedd ddosbarthu i luosi -9 â x^{2}+2xy+y^{2}.

$$16x^{2}-64xy+64y^{2}-9x^{2}-18xy-9y^{2}$$

Cyfuno 16x^{2} a -9x^{2} i gael 7x^{2}.

$$7x^{2}-64xy+64y^{2}-18xy-9y^{2}$$

Cyfuno -64xy a -18xy i gael -82xy.

$$7x^{2}-82xy+64y^{2}-9y^{2}$$

Cyfuno 64y^{2} a -9y^{2} i gael 55y^{2}.

$$7x^{2}-82xy+55y^{2}$$

Ehangu

$$7x^{2}-82xy+55y^{2}$$

Camau Ateb

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

$$16\left(x^{2}-4xy+4y^{2}\right)-9\left(x+y\right)^{2}$$

Defnyddio’r briodwedd ddosbarthu i luosi 16 â x^{2}-4xy+4y^{2}.

$$16x^{2}-64xy+64y^{2}-9\left(x+y\right)^{2}$$

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

$$16x^{2}-64xy+64y^{2}-9\left(x^{2}+2xy+y^{2}\right)$$

Defnyddio’r briodwedd ddosbarthu i luosi -9 â x^{2}+2xy+y^{2}.

$$16x^{2}-64xy+64y^{2}-9x^{2}-18xy-9y^{2}$$

Cyfuno 16x^{2} a -9x^{2} i gael 7x^{2}.

$$7x^{2}-64xy+64y^{2}-18xy-9y^{2}$$

Cyfuno -64xy a -18xy i gael -82xy.

$$7x^{2}-82xy+64y^{2}-9y^{2}$$

Cyfuno 64y^{2} a -9y^{2} i gael 55y^{2}.

$$7x^{2}-82xy+55y^{2}$$