Solve (2017*11)(x-2xy-y^2/x)=

$$( 2017 \cdot 11 ) ( x - \frac { 2 x y - y ^ { 2 } } { x } ) =$$

Evaluate

$$\frac{22187\left(x-y\right)^{2}}{x}$$

Short Solution Steps

Multiply 2017 and 11 to get 22187.

$$22187\left(x-\frac{2xy-y^{2}}{x}\right)$$

To add or subtract expressions, expand them to make their denominators the same. Multiply x times \frac{x}{x}.

$$22187\left(\frac{xx}{x}-\frac{2xy-y^{2}}{x}\right)$$

Since \frac{xx}{x} and \frac{2xy-y^{2}}{x} have the same denominator, subtract them by subtracting their numerators.

$$22187\times \frac{xx-\left(2xy-y^{2}\right)}{x}$$

Do the multiplications in xx-\left(2xy-y^{2}\right).

$$22187\times \frac{x^{2}-2xy+y^{2}}{x}$$

Express 22187\times \frac{x^{2}-2xy+y^{2}}{x} as a single fraction.

$$\frac{22187\left(x^{2}-2xy+y^{2}\right)}{x}$$

Use the distributive property to multiply 22187 by x^{2}-2xy+y^{2}.

$$\frac{22187x^{2}-44374xy+22187y^{2}}{x}$$

Expand

$$\frac{22187y^{2}}{x}+22187x-44374y$$

Short Solution Steps

Multiply 2017 and 11 to get 22187.

$$22187\left(x-\frac{2xy-y^{2}}{x}\right)$$

To add or subtract expressions, expand them to make their denominators the same. Multiply x times \frac{x}{x}.

$$22187\left(\frac{xx}{x}-\frac{2xy-y^{2}}{x}\right)$$

Since \frac{xx}{x} and \frac{2xy-y^{2}}{x} have the same denominator, subtract them by subtracting their numerators.

$$22187\times \frac{xx-\left(2xy-y^{2}\right)}{x}$$

Do the multiplications in xx-\left(2xy-y^{2}\right).

$$22187\times \frac{x^{2}-2xy+y^{2}}{x}$$

Express 22187\times \frac{x^{2}-2xy+y^{2}}{x} as a single fraction.

$$\frac{22187\left(x^{2}-2xy+y^{2}\right)}{x}$$

Use the distributive property to multiply 22187 by x^{2}-2xy+y^{2}.

$$\frac{22187x^{2}-44374xy+22187y^{2}}{x}$$