What is 3(4)^2-24(4)+36 ?

The solution to 3(4)^2-24(4)+36 is -12

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3(4)^2-24(4)+36

3 (4)^{2} - 24 (4) + 36

- 12

Solution steps

3 (4)^{2} - 24 (4) + 36

Follow the PEMDAS order of operations

Calculate exponents

(4)^{2} : 16

(4)^{2}

(4)^{2} = 16

= 16

= 3 \cdot 16 - 24 (4) + 36

Multiply and divide (left to right)

3 \cdot 16 : 48

3 \cdot 16

3 \cdot 16 = 48

= 48

= 48 - 24 (4) + 36

Multiply and divide (left to right)

24 (4) : 96

24 (4)

Apply rule:

(a) = a

(4) = 4

= 24 \cdot 4

Multiply the numbers:

24 \cdot 4 = 96

= 96

= 48 - 96 + 36

Add and subtract (left to right)

48 - 96 + 36 : - 12

48 - 96 + 36

48 - 96 = - 48

= - 48 + 36

- 48 + 36 = - 12

= - 12

= - 12

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