Solve (4x^2+42^2)/5+18*(24+24)/2*(24^2)

$$\frac { \frac { ( 4 x ^ { 2 } + 42 ^ { 2 } ) } { 5 + 18 \times ( 24 + 24 ) } } { 2 \times ( 24 ^ { 2 } ) }$$

Evaluate

$$\frac{x^{2}+441}{250272}$$

Short Solution Steps

Calculate 42 to the power of 2 and get 1764.

$$\frac{\frac{4x^{2}+1764}{5+18\left(24+24\right)}}{2\times 24^{2}}$$

Add 24 and 24 to get 48.

$$\frac{\frac{4x^{2}+1764}{5+18\times 48}}{2\times 24^{2}}$$

Multiply 18 and 48 to get 864.

$$\frac{\frac{4x^{2}+1764}{5+864}}{2\times 24^{2}}$$

Add 5 and 864 to get 869.

$$\frac{\frac{4x^{2}+1764}{869}}{2\times 24^{2}}$$

Calculate 24 to the power of 2 and get 576.

$$\frac{\frac{4x^{2}+1764}{869}}{2\times 576}$$

Multiply 2 and 576 to get 1152.

$$\frac{\frac{4x^{2}+1764}{869}}{1152}$$

Express \frac{\frac{4x^{2}+1764}{869}}{1152} as a single fraction.

$$\frac{4x^{2}+1764}{869\times 1152}$$

Factor the expressions that are not already factored.

$$\frac{4\left(x^{2}+441\right)}{869\times 1152}$$

Cancel out 4 in both numerator and denominator.

$$\frac{x^{2}+441}{288\times 869}$$

Expand the expression.

$$\frac{x^{2}+441}{250272}$$

Expand

$$\frac{x^{2}}{250272}+\frac{49}{27808}$$

Short Solution Steps

Calculate 42 to the power of 2 and get 1764.

$$\frac{\frac{4x^{2}+1764}{5+18\left(24+24\right)}}{2\times 24^{2}}$$

Add 24 and 24 to get 48.

$$\frac{\frac{4x^{2}+1764}{5+18\times 48}}{2\times 24^{2}}$$

Multiply 18 and 48 to get 864.

$$\frac{\frac{4x^{2}+1764}{5+864}}{2\times 24^{2}}$$

Add 5 and 864 to get 869.

$$\frac{\frac{4x^{2}+1764}{869}}{2\times 24^{2}}$$

Calculate 24 to the power of 2 and get 576.

$$\frac{\frac{4x^{2}+1764}{869}}{2\times 576}$$

Multiply 2 and 576 to get 1152.

$$\frac{\frac{4x^{2}+1764}{869}}{1152}$$

Express \frac{\frac{4x^{2}+1764}{869}}{1152} as a single fraction.

$$\frac{4x^{2}+1764}{869\times 1152}$$

Factor the expressions that are not already factored.

$$\frac{4\left(x^{2}+441\right)}{869\times 1152}$$

Cancel out 4 in both numerator and denominator.

$$\frac{x^{2}+441}{288\times 869}$$

Expand the expression.

$$\frac{x^{2}+441}{250272}$$