Solve 5^2+3^2-2*5*3*1/2

$${ 5 }^{ 2 } + { 3 }^{ 2 } -2 \times 5 \times 3 \times \frac{ 1 }{ 2 }$$

Evaluate

$$19$$

Solution Steps

Calculate 5 to the power of 2 and get 25.

$$25+3^{2}-2\times 5\times 3\times \frac{1}{2}$$

Calculate 3 to the power of 2 and get 9.

$$25+9-2\times 5\times 3\times \frac{1}{2}$$

Add 25 and 9 to get 34.

$$34-2\times 5\times 3\times \frac{1}{2}$$

Multiply 2 and 5 to get 10.

$$34-10\times 3\times \frac{1}{2}$$

Multiply 10 and 3 to get 30.

$$34-30\times \frac{1}{2}$$

Multiply 30 and \frac{1}{2} to get \frac{30}{2}.

$$34-\frac{30}{2}$$

Divide 30 by 2 to get 15.

$$34-15$$

Subtract 15 from 34 to get 19.

$$19$$

Factor

$$19$$