Question

(x+2) ^3 algebraic expressions(cube)
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Answer 1

The cube of
`(x+2)^3 \:is\:\mathbf{(x+2)(x^2-2x+4)}`

Explanation:

We need to find cube of
`(x+2)^3`

It can be found using formula:
`(a+b)^3=(a+b)(a^2-ab+b^2)`

In the question given:

We have a = x and b = 2

Now finding cube using the above formula:

`(x+2)^3\\=(x+2)(x^2-(x)(2)+(2)^2)\\=(x+2)(x^2-2x+4)`

So, the cube of
`(x+2)^3 \:is\:\mathbf{(x+2)(x^2-2x+4)}`