Solve 49x^2-336xy+576y^2/25-48x-50y

$$\frac { 49 x ^ { 2 } - 336 x y + 576 y ^ { 2 } } { 25 } - 48 x - 50 y$$

Evaluate

$$\frac{\left(7x-24y\right)^{2}}{25}-48x-50y$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply -48x-50y times \frac{25}{25}.

$$\frac{49x^{2}-336xy+576y^{2}}{25}+\frac{25\left(-48x-50y\right)}{25}$$

Since \frac{49x^{2}-336xy+576y^{2}}{25} and \frac{25\left(-48x-50y\right)}{25} have the same denominator, add them by adding their numerators.

$$\frac{49x^{2}-336xy+576y^{2}+25\left(-48x-50y\right)}{25}$$

Do the multiplications in 49x^{2}-336xy+576y^{2}+25\left(-48x-50y\right).

$$\frac{49x^{2}-336xy+576y^{2}-1200x-1250y}{25}$$

Expand

$$-\frac{336xy}{25}+\frac{49x^{2}}{25}+\frac{576y^{2}}{25}-48x-50y$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply -48x-50y times \frac{25}{25}.

$$\frac{49x^{2}-336xy+576y^{2}}{25}+\frac{25\left(-48x-50y\right)}{25}$$

Since \frac{49x^{2}-336xy+576y^{2}}{25} and \frac{25\left(-48x-50y\right)}{25} have the same denominator, add them by adding their numerators.

$$\frac{49x^{2}-336xy+576y^{2}+25\left(-48x-50y\right)}{25}$$

Do the multiplications in 49x^{2}-336xy+576y^{2}+25\left(-48x-50y\right).

$$\frac{49x^{2}-336xy+576y^{2}-1200x-1250y}{25}$$