What is 3(4)^2-24(4)+45 ?

The solution to 3(4)^2-24(4)+45 is -3

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3(4)^2-24(4)+45

3 (4)^{2} - 24 (4) + 45

- 3

Solution steps

3 (4)^{2} - 24 (4) + 45

Follow the PEMDAS order of operations

Calculate exponents

(4)^{2} : 16

(4)^{2}

(4)^{2} = 16

= 16

= 3 \cdot 16 - 24 (4) + 45

Multiply and divide (left to right)

3 \cdot 16 : 48

3 \cdot 16

3 \cdot 16 = 48

= 48

= 48 - 24 (4) + 45

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 + 45

Add and subtract (left to right)

48 - 96 + 45 : - 3

48 - 96 + 45

48 - 96 = - 48

= - 48 + 45

- 48 + 45 = - 3

= - 3

= - 3

(6 + 3)^{2} + (9 - \frac{10}{5})

\frac{175}{5}

- 8 \cdot (- 10 + (- 7))

14 + (- 9) - (- 9)

18 - 14 + 15 + 7 - 26