Solve 4(232+248)^2/6252^2-2487*(144^2+36^2)

$$\frac { 4 ( 232 + 248 ) ^ { 2 } } { 6252 ^ { 2 } - 2487 \times ( 144 ^ { 2 } + 36 ^ { 2 } ) }$$

Evaluate

$$-\frac{640}{10907}\approx -0.058677913$$

Solution Steps

Add 232 and 248 to get 480.

$$\frac{4\times 480^{2}}{6252^{2}-2487\left(144^{2}+36^{2}\right)}$$

Calculate 480 to the power of 2 and get 230400.

$$\frac{4\times 230400}{6252^{2}-2487\left(144^{2}+36^{2}\right)}$$

Multiply 4 and 230400 to get 921600.

$$\frac{921600}{6252^{2}-2487\left(144^{2}+36^{2}\right)}$$

Calculate 6252 to the power of 2 and get 39087504.

$$\frac{921600}{39087504-2487\left(144^{2}+36^{2}\right)}$$

Calculate 144 to the power of 2 and get 20736.

$$\frac{921600}{39087504-2487\left(20736+36^{2}\right)}$$

Calculate 36 to the power of 2 and get 1296.

$$\frac{921600}{39087504-2487\left(20736+1296\right)}$$

Add 20736 and 1296 to get 22032.

$$\frac{921600}{39087504-2487\times 22032}$$

Multiply 2487 and 22032 to get 54793584.

$$\frac{921600}{39087504-54793584}$$

Subtract 54793584 from 39087504 to get -15706080.

$$\frac{921600}{-15706080}$$

Reduce the fraction \frac{921600}{-15706080} to lowest terms by extracting and canceling out 1440.

$$-\frac{640}{10907}$$

Factor

$$-\frac{640}{10907} = -0.05867791326670945$$