Solve 680+49*981m/5^2*32m

$$680 + 49 \cdot 981 \frac { m } { 5 ^ { 2 } } \cdot 32 m$$

Evaluate

$$\frac{1538208m^{2}}{25}+680$$

Short Solution Steps

Multiply 49 and 981 to get 48069.

$$680+48069\times \frac{m}{5^{2}}\times 32m$$

Calculate 5 to the power of 2 and get 25.

$$680+48069\times \frac{m}{25}\times 32m$$

Multiply 48069 and 32 to get 1538208.

$$680+1538208\times \frac{m}{25}m$$

Express 1538208\times \frac{m}{25} as a single fraction.

$$680+\frac{1538208m}{25}m$$

Express \frac{1538208m}{25}m as a single fraction.

$$680+\frac{1538208mm}{25}$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 680 times \frac{25}{25}.

$$\frac{680\times 25}{25}+\frac{1538208mm}{25}$$

Since \frac{680\times 25}{25} and \frac{1538208mm}{25} have the same denominator, add them by adding their numerators.

$$\frac{680\times 25+1538208mm}{25}$$

Do the multiplications in 680\times 25+1538208mm.

$$\frac{17000+1538208m^{2}}{25}$$

Factor

$$\frac{8\left(192276m^{2}+2125\right)}{25}$$

Solution Steps

Multiply 49 and 981 to get 48069.

$$factor(680+48069\times \frac{m}{5^{2}}\times 32m)$$

Calculate 5 to the power of 2 and get 25.

$$factor(680+48069\times \frac{m}{25}\times 32m)$$

Multiply 48069 and 32 to get 1538208.

$$factor(680+1538208\times \frac{m}{25}m)$$

Express 1538208\times \frac{m}{25} as a single fraction.

$$factor(680+\frac{1538208m}{25}m)$$

Express \frac{1538208m}{25}m as a single fraction.

$$factor(680+\frac{1538208mm}{25})$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 680 times \frac{25}{25}.

$$factor(\frac{680\times 25}{25}+\frac{1538208mm}{25})$$

Since \frac{680\times 25}{25} and \frac{1538208mm}{25} have the same denominator, add them by adding their numerators.

$$factor(\frac{680\times 25+1538208mm}{25})$$

Do the multiplications in 680\times 25+1538208mm.

$$factor(\frac{17000+1538208m^{2}}{25})$$

Consider 17000+1538208m^{2}. Factor out 8.

$$8\left(2125+192276m^{2}\right)$$

Rewrite the complete factored expression. Simplify. Polynomial 2125+192276m^{2} is not factored since it does not have any rational roots.

$$\frac{8\left(2125+192276m^{2}\right)}{25}$$