Solve 4.8^2+2(1.2)(4.8)+1.2^2/4.4^2+1.4^2-2*(1.4)*(4.4)

$$\frac{ { 4.8 }^{ 2 } +2(1.2)(4.8)+ { 1.2 }^{ 2 } }{ { 4.4 }^{ 2 } + { 1.4 }^{ 2 } -2 \times (1.4) \times (4.4) }$$

Evaluate

$$4$$

Solution Steps

Calculate 4.8 to the power of 2 and get 23.04.

$$\frac{23.04+2\times 1.2\times 4.8+1.2^{2}}{4.4^{2}+1.4^{2}-2\times 1.4\times 4.4}$$

Multiply 2 and 1.2 to get 2.4.

$$\frac{23.04+2.4\times 4.8+1.2^{2}}{4.4^{2}+1.4^{2}-2\times 1.4\times 4.4}$$

Multiply 2.4 and 4.8 to get 11.52.

$$\frac{23.04+11.52+1.2^{2}}{4.4^{2}+1.4^{2}-2\times 1.4\times 4.4}$$

Add 23.04 and 11.52 to get 34.56.

$$\frac{34.56+1.2^{2}}{4.4^{2}+1.4^{2}-2\times 1.4\times 4.4}$$

Calculate 1.2 to the power of 2 and get 1.44.

$$\frac{34.56+1.44}{4.4^{2}+1.4^{2}-2\times 1.4\times 4.4}$$

Add 34.56 and 1.44 to get 36.

$$\frac{36}{4.4^{2}+1.4^{2}-2\times 1.4\times 4.4}$$

Calculate 4.4 to the power of 2 and get 19.36.

$$\frac{36}{19.36+1.4^{2}-2\times 1.4\times 4.4}$$

Calculate 1.4 to the power of 2 and get 1.96.

$$\frac{36}{19.36+1.96-2\times 1.4\times 4.4}$$

Add 19.36 and 1.96 to get 21.32.

$$\frac{36}{21.32-2\times 1.4\times 4.4}$$

Multiply 2 and 1.4 to get 2.8.

$$\frac{36}{21.32-2.8\times 4.4}$$

Multiply 2.8 and 4.4 to get 12.32.

$$\frac{36}{21.32-12.32}$$

Subtract 12.32 from 21.32 to get 9.

$$\frac{36}{9}$$

Divide 36 by 9 to get 4.

$$4$$

Factor

$$2^{2}$$