What is 3(5)^2-12(5)+9 ?

The solution to 3(5)^2-12(5)+9 is 24

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3(5)^2-12(5)+9

3 (5)^{2} - 12 (5) + 9

24

Solution steps

3 (5)^{2} - 12 (5) + 9

Follow the PEMDAS order of operations

Calculate exponents

(5)^{2} : 25

(5)^{2}

(5)^{2} = 25

= 25

= 3 \cdot 25 - 12 (5) + 9

Multiply and divide (left to right)

3 \cdot 25 : 75

3 \cdot 25

3 \cdot 25 = 75

= 75

= 75 - 12 (5) + 9

Multiply and divide (left to right)

12 (5) : 60

12 (5)

Apply rule:

(a) = a

(5) = 5

= 12 \cdot 5

Multiply the numbers:

12 \cdot 5 = 60

= 60

= 75 - 60 + 9

Add and subtract (left to right)

75 - 60 + 9 : 24

75 - 60 + 9

75 - 60 = 15

= 15 + 9

15 + 9 = 24

= 24

= 24

15 - (2^{3} - 10 \div 2)

- (0)^{2} + 2 (0) + 4

- 90 + 4 (5 + 11)

- (0)^{2} + 2 (0) - 1

3 \div 5 - 4 \div 10