Question

Simplify: 12(2 + 2 3 x) A) 24 + 2 3 x B) 24 + 8 3 x C) 24 + 4x D) 24 + 8x

Answer 1

Option D

The simplified form of given expression is
`12(2+(2)/(3)x) = 24 + 8x`

Solution:

Given that we have to simplify:

`12(2+(2)/(3)x)`

Let us simplify the given expression

`\rightarrow 12(2+(2)/(3)x)`

Multiply the constant outside the bracket with each term inside the bracket

`\rightarrow 24 + 12 * (2x)/(3)`

Simplify the above expression

`\rightarrow 24 + (4 * 2x)`

Solve for brackets. Multiply the terms inside the bracket

`\rightarrow 24 + 8x`

`12(2+(2)/(3)x) = 24 + 8x`

Thus Option D is correct