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

The solution to (4(4)-3)(2(4)^2-3(4)+4) is 312

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

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

312

Solution steps

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

Follow the PEMDAS order of operations

Calculate within parentheses

(4 (4) - 3) : 13

4 (4) - 3

Multiply and divide (left to right)

4 (4) : 16

4 (4)

Apply rule:

(a) = a

(4) = 4

= 4 \cdot 4

Multiply the numbers:

4 \cdot 4 = 16

= 16

= 16 - 3

Add and subtract (left to right)

16 - 3 : 13

16 - 3

16 - 3 = 13

= 13

= 13

= 13 (2 (4)^{2} - 3 (4) + 4)

Calculate within parentheses

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

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

Calculate exponents

(4)^{2} : 16

(4)^{2}

(4)^{2} = 16

= 16

= 2 \cdot 16 - 3 (4) + 4

Multiply and divide (left to right)

2 \cdot 16 : 32

2 \cdot 16

2 \cdot 16 = 32

= 32

= 32 - 3 (4) + 4

Multiply and divide (left to right)

3 (4) : 12

3 (4)

Apply rule:

(a) = a

(4) = 4

= 3 \cdot 4

Multiply the numbers:

3 \cdot 4 = 12

= 12

= 32 - 12 + 4

Add and subtract (left to right)

32 - 12 + 4 : 24

32 - 12 + 4

32 - 12 = 20

= 20 + 4

20 + 4 = 24

= 24

= 24

= 13 \cdot 24

Multiply and divide (left to right)

13 \cdot 24 : 312

13 \cdot 24

13 \cdot 24 = 312

= 312

= 312

5 + 3 \times 5^{2} \div 20

- (- 2)^{2} + 3 (- 2) - 2

4 (- 3)^{2} - 10 (- 3) + 12

3 5^{2} - 63

(2)^{2} - 2 (2) + 5

What is (4(4)-3)(2(4)^2-3(4)+4) ?
The solution to (4(4)-3)(2(4)^2-3(4)+4) is 312