Resolver 8{left(x-1/3yright)}^2+8/3y-8x

$$8 { \left(x- \frac{ 1 }{ 3 } y \right) }^{ 2 } + \frac{ 8 }{ 3 } y-8x$$

Ebaluatu

$$\frac{8\left(3x-y\right)\left(3x-y-3\right)}{9}$$

Ebazpidea

\left(x-\frac{1}{3}y\right)^{2} zabaltzeko, erabili Newton-en binomioa \left(a-b\right)^{2}=a^{2}-2ab+b^{2}.

$$8\left(x^{2}-\frac{2}{3}xy+\frac{1}{9}y^{2}\right)+\frac{8}{3}y-8x$$

Erabili banaketa-propietatea 8 eta x^{2}-\frac{2}{3}xy+\frac{1}{9}y^{2} biderkatzeko.

$$8x^{2}-\frac{16}{3}xy+\frac{8}{9}y^{2}+\frac{8}{3}y-8x$$

Zabaldu

$$-\frac{16xy}{3}+\frac{8y^{2}}{9}+8x^{2}+\frac{8y}{3}-8x$$

Ebazpidea

\left(x-\frac{1}{3}y\right)^{2} zabaltzeko, erabili Newton-en binomioa \left(a-b\right)^{2}=a^{2}-2ab+b^{2}.

$$8\left(x^{2}-\frac{2}{3}xy+\frac{1}{9}y^{2}\right)+\frac{8}{3}y-8x$$

Erabili banaketa-propietatea 8 eta x^{2}-\frac{2}{3}xy+\frac{1}{9}y^{2} biderkatzeko.

$$8x^{2}-\frac{16}{3}xy+\frac{8}{9}y^{2}+\frac{8}{3}y-8x$$