Lutasin ang (0.25)(0.25-1)(0.25+1)(0.25-2)(0.25+2)(1.44)/120

$$\frac { ( 0.25 ) ( 0.25 - 1 ) ( 0.25 + 1 ) ( 0.25 - 2 ) ( 0.25 + 2 ) ( 1.44 ) } { 120 }$$

I-evaluate

$$0.01107421875$$

Mga Hakbang ng Solution

I-subtract ang 1 mula sa 0.25 para makuha ang -0.75.

$$\frac{0.25\left(-0.75\right)\left(0.25+1\right)\left(0.25-2\right)\left(0.25+2\right)\times 1.44}{120}$$

I-multiply ang 0.25 at -0.75 para makuha ang -0.1875.

$$\frac{-0.1875\left(0.25+1\right)\left(0.25-2\right)\left(0.25+2\right)\times 1.44}{120}$$

Idagdag ang 0.25 at 1 para makuha ang 1.25.

$$\frac{-0.1875\times 1.25\left(0.25-2\right)\left(0.25+2\right)\times 1.44}{120}$$

I-multiply ang -0.1875 at 1.25 para makuha ang -0.234375.

$$\frac{-0.234375\left(0.25-2\right)\left(0.25+2\right)\times 1.44}{120}$$

I-subtract ang 2 mula sa 0.25 para makuha ang -1.75.

$$\frac{-0.234375\left(-1.75\right)\left(0.25+2\right)\times 1.44}{120}$$

I-multiply ang -0.234375 at -1.75 para makuha ang 0.41015625.

$$\frac{0.41015625\left(0.25+2\right)\times 1.44}{120}$$

Idagdag ang 0.25 at 2 para makuha ang 2.25.

$$\frac{0.41015625\times 2.25\times 1.44}{120}$$

I-multiply ang 0.41015625 at 2.25 para makuha ang 0.9228515625.

$$\frac{0.9228515625\times 1.44}{120}$$

I-multiply ang 0.9228515625 at 1.44 para makuha ang 1.32890625.

$$\frac{1.32890625}{120}$$

I-expand ang \frac{1.32890625}{120} sa pamamagitan ng pag-multiply sa parehong numerator at denominator ng 100000000.

$$\frac{132890625}{12000000000}$$

Bawasan ang fraction \frac{132890625}{12000000000} sa pinakamabababang term sa pamamagitan ng pag-extract at pag-cancel out sa 234375.

$$\frac{567}{51200}$$

I-factor

$$\frac{7 \cdot 3 ^ {4}}{2 ^ {11} \cdot 5 ^ {2}} = 0.01107421875$$