What is 4[2-3(2+4)+3]-4(3-4) ?

The solution to 4[2-3(2+4)+3]-4(3-4) is -48

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4[2-3(2+4)+3]-4(3-4)

4 [2 - 3 (2 + 4) + 3] - 4 (3 - 4)

- 48

Solution steps

4 [2 - 3 (2 + 4) + 3] - 4 (3 - 4)

Follow the PEMDAS order of operations

Calculate within parentheses

[2 - 3 (2 + 4) + 3] : - 13

2 - 3 (2 + 4) + 3

Calculate within parentheses

(2 + 4) : 6

2 + 4

2 + 4 = 6

= 6

= 2 - 3 \cdot 6 + 3

Multiply and divide (left to right)

3 \cdot 6 : 18

3 \cdot 6

3 \cdot 6 = 18

= 18

= 2 - 18 + 3

Add and subtract (left to right)

2 - 18 + 3 : - 13

2 - 18 + 3

2 - 18 = - 16

= - 16 + 3

- 16 + 3 = - 13

= - 13

= - 13

= 4 (- 13) - 4 (3 - 4)

Calculate within parentheses

(3 - 4) : - 1

3 - 4

3 - 4 = - 1

= - 1

= 4 (- 13) - 4 (- 1)

Multiply and divide (left to right)

4 (- 13) : - 52

4 (- 13)

Apply rule

a \cdot (- b) = - a \cdot b

4 (- 13) = - 4 \cdot 13 = - 52

= - 52

= - 52 - 4 (- 1)

Multiply and divide (left to right)

4 (- 1) : - 4

4 (- 1)

Apply rule

a \cdot (- b) = - a \cdot b

4 (- 1) = - 4 \cdot 1 = - 4

= - 4

= - 52 - (- 4)

Add and subtract (left to right)

- 52 - (- 4) : - 48

- 52 - (- 4)

Apply rule

- (- a) = + a

- (- 4) = + 4

= - 52 + 4

- 52 + 4 = - 48

= - 48

= - 48

\frac{10}{12}

\frac{36}{100}

(3 + 5)^{2}

\frac{128}{2}

\frac{625}{5}