Solve 5.32*56+5.32*44/(7.66)^2-(2.34)^2

$$\frac { 5.32 \times 56 + 5.32 \times 44 } { ( 7.66 ) ^ { 2 } - ( 2.34 ) ^ { 2 } }$$

Evaluate

$$10$$

Solution Steps

Multiply 5.32 and 56 to get 297.92.

$$\frac{297.92+5.32\times 44}{7.66^{2}-2.34^{2}}$$

Multiply 5.32 and 44 to get 234.08.

$$\frac{297.92+234.08}{7.66^{2}-2.34^{2}}$$

Add 297.92 and 234.08 to get 532.

$$\frac{532}{7.66^{2}-2.34^{2}}$$

Calculate 7.66 to the power of 2 and get 58.6756.

$$\frac{532}{58.6756-2.34^{2}}$$

Calculate 2.34 to the power of 2 and get 5.4756.

$$\frac{532}{58.6756-5.4756}$$

Subtract 5.4756 from 58.6756 to get 53.2.

$$\frac{532}{53.2}$$

Expand \frac{532}{53.2} by multiplying both numerator and the denominator by 10.

$$\frac{5320}{532}$$

Divide 5320 by 532 to get 10.

$$10$$

Factor

$$2\times 5$$