Solve 1/2*10(2.5^2-1.5^2)

$$\frac { 1 } { 2 } \times 10 ( 2.5 ^ { 2 } - 1.5 ^ { 2 } )$$

Evaluate

$$20$$

Solution Steps

Multiply \frac{1}{2} and 10 to get \frac{10}{2}.

$$\frac{10}{2}\left(2.5^{2}-1.5^{2}\right)$$

Divide 10 by 2 to get 5.

$$5\left(2.5^{2}-1.5^{2}\right)$$

Calculate 2.5 to the power of 2 and get 6.25.

$$5\left(6.25-1.5^{2}\right)$$

Calculate 1.5 to the power of 2 and get 2.25.

$$5\left(6.25-2.25\right)$$

Subtract 2.25 from 6.25 to get 4.

$$5\times 4$$

Multiply 5 and 4 to get 20.

$$20$$

Factor

$$5\times 2^{2}$$