Solve 15(5)^3-14(5)^2+12(5)-20

$$15 ( 5 ) ^ { 3 } - 14 ( 5 ) ^ { 2 } + 12 ( 5 ) - 20$$

Evaluate

$$1565$$

Solution Steps

Calculate 5 to the power of 3 and get 125.

$$15\times 125-14\times 5^{2}+12\times 5-20$$

Multiply 15 and 125 to get 1875.

$$1875-14\times 5^{2}+12\times 5-20$$

Calculate 5 to the power of 2 and get 25.

$$1875-14\times 25+12\times 5-20$$

Multiply 14 and 25 to get 350.

$$1875-350+12\times 5-20$$

Subtract 350 from 1875 to get 1525.

$$1525+12\times 5-20$$

Multiply 12 and 5 to get 60.

$$1525+60-20$$

Add 1525 and 60 to get 1585.

$$1585-20$$

Subtract 20 from 1585 to get 1565.

$$1565$$

Factor

$$5\times 313$$