Solve 4.5*4.5-2(4.5)(4.5)+1.5*1.5/4.5*4.5+2(4.5)(1.5)+1.5*1.5

$$\frac { 4.5 \times 4.5 - 2 ( 4.5 ) ( 4.5 ) + 1.5 \times 1.5 } { 4.5 \times 4.5 + 2 ( 4.5 ) ( 1.5 ) + 1.5 \times 1.5 }$$

Evaluate

$$-0.5$$

Solution Steps

Multiply 4.5 and 4.5 to get 20.25.

$$\frac{20.25-2\times 4.5\times 4.5+1.5\times 1.5}{4.5\times 4.5+2\times 4.5\times 1.5+1.5\times 1.5}$$

Multiply 2 and 4.5 to get 9.

$$\frac{20.25-9\times 4.5+1.5\times 1.5}{4.5\times 4.5+2\times 4.5\times 1.5+1.5\times 1.5}$$

Multiply 9 and 4.5 to get 40.5.

$$\frac{20.25-40.5+1.5\times 1.5}{4.5\times 4.5+2\times 4.5\times 1.5+1.5\times 1.5}$$

Subtract 40.5 from 20.25 to get -20.25.

$$\frac{-20.25+1.5\times 1.5}{4.5\times 4.5+2\times 4.5\times 1.5+1.5\times 1.5}$$

Multiply 1.5 and 1.5 to get 2.25.

$$\frac{-20.25+2.25}{4.5\times 4.5+2\times 4.5\times 1.5+1.5\times 1.5}$$

Add -20.25 and 2.25 to get -18.

$$\frac{-18}{4.5\times 4.5+2\times 4.5\times 1.5+1.5\times 1.5}$$

Multiply 4.5 and 4.5 to get 20.25.

$$\frac{-18}{20.25+2\times 4.5\times 1.5+1.5\times 1.5}$$

Multiply 2 and 4.5 to get 9.

$$\frac{-18}{20.25+9\times 1.5+1.5\times 1.5}$$

Multiply 9 and 1.5 to get 13.5.

$$\frac{-18}{20.25+13.5+1.5\times 1.5}$$

Add 20.25 and 13.5 to get 33.75.

$$\frac{-18}{33.75+1.5\times 1.5}$$

Multiply 1.5 and 1.5 to get 2.25.

$$\frac{-18}{33.75+2.25}$$

Add 33.75 and 2.25 to get 36.

$$\frac{-18}{36}$$

Reduce the fraction \frac{-18}{36} to lowest terms by extracting and canceling out 18.

$$-\frac{1}{2}$$

Factor

$$-0.5$$