Solve 45*45-2(45)(45)+15*15/45*45+2(45)(15)+15*15

$$\frac { 45 \times 45 - 2 ( 45 ) ( 45 ) + 15 \times 15 } { 45 \times 45 + 2 ( 45 ) ( 15 ) + 15 \times 15 }$$

Evaluate

$$-\frac{1}{2}=-0.5$$

Solution Steps

Multiply 45 and 45 to get 2025.

$$\frac{2025-2\times 45\times 45+15\times 15}{45\times 45+2\times 45\times 15+15\times 15}$$

Multiply 2 and 45 to get 90.

$$\frac{2025-90\times 45+15\times 15}{45\times 45+2\times 45\times 15+15\times 15}$$

Multiply 90 and 45 to get 4050.

$$\frac{2025-4050+15\times 15}{45\times 45+2\times 45\times 15+15\times 15}$$

Subtract 4050 from 2025 to get -2025.

$$\frac{-2025+15\times 15}{45\times 45+2\times 45\times 15+15\times 15}$$

Multiply 15 and 15 to get 225.

$$\frac{-2025+225}{45\times 45+2\times 45\times 15+15\times 15}$$

Add -2025 and 225 to get -1800.

$$\frac{-1800}{45\times 45+2\times 45\times 15+15\times 15}$$

Multiply 45 and 45 to get 2025. Multiply 2 and 45 to get 90. Multiply 15 and 15 to get 225.

$$\frac{-1800}{2025+90\times 15+225}$$

Multiply 90 and 15 to get 1350.

$$\frac{-1800}{2025+1350+225}$$

Add 2025 and 1350 to get 3375.

$$\frac{-1800}{3375+225}$$

Add 3375 and 225 to get 3600.

$$\frac{-1800}{3600}$$

Reduce the fraction \frac{-1800}{3600} to lowest terms by extracting and canceling out 1800.

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

Factor

$$-\frac{1}{2} = -0.5$$