Solve left(1.2+1.8right)^2/1.5-6/left(1.5-0.3right)^2-0.24

$$\frac{ { \left(1.2+1.8 \right) }^{ 2 } }{ 1.5 } - \frac{ 6 }{ { \left(1.5-0.3 \right) }^{ 2 } -0.24 }$$

Evaluate

$$1$$

Solution Steps

Add 1.2 and 1.8 to get 3.

$$\frac{3^{2}}{1.5}-\frac{6}{\left(1.5-0.3\right)^{2}-0.24}$$

Calculate 3 to the power of 2 and get 9.

$$\frac{9}{1.5}-\frac{6}{\left(1.5-0.3\right)^{2}-0.24}$$

Expand \frac{9}{1.5} by multiplying both numerator and the denominator by 10.

$$\frac{90}{15}-\frac{6}{\left(1.5-0.3\right)^{2}-0.24}$$

Divide 90 by 15 to get 6.

$$6-\frac{6}{\left(1.5-0.3\right)^{2}-0.24}$$

Subtract 0.3 from 1.5 to get 1.2.

$$6-\frac{6}{1.2^{2}-0.24}$$

Calculate 1.2 to the power of 2 and get 1.44.

$$6-\frac{6}{1.44-0.24}$$

Subtract 0.24 from 1.44 to get 1.2.

$$6-\frac{6}{1.2}$$

Expand \frac{6}{1.2} by multiplying both numerator and the denominator by 10.

$$6-\frac{60}{12}$$

Divide 60 by 12 to get 5.

$$6-5$$

Subtract 5 from 6 to get 1.

$$1$$

Factor

$$1$$