Question

Simplify the expression 3(x + 2)(x2 − x − 8). 3x3 + 3x2 − 30x − 48 3x3 + x2 − 10x − 16 3x3 − 30x2 − 12x − 48 3x3 − 4x2 − 30x − 4

Answer 1

3x^3 + 3x^2 − 30x − 48

Explanation:

3( x + 2 )( x^2 − x − 8 )

= ( 3( x + 2 ))( x^2 + − x + − 8 )

= ( 3( x + 2 ))( x^2 ) + ( 3( x + 2 ))( −x ) + ( 3( x + 2 ))( −8 )

= 3x^3 + 6x^2 − 3x^2 − 6x − 24x − 48

3x^3 + 3x^2 − 30x − 48

Answer 2

The correct option is A)
`3x^3+3x^2-30x-48`

Explanation:

Consider the provided expression.

`3\left(x+2\right)\left(x^2-x-8\right)`

Distribute 3 as shown

`\left(3x+6\right)\left(x^2-x-8\right)`

Distribute parentheses as shown.

`3xx^2+3x\left(-x\right)+3x\left(-8\right)+6x^2+6\left(-x\right)+6\left(-8\right)`

`3x^2x-3xx-3\cdot \:8x+6x^2-6x-6\cdot \:8`

`3x^3-3x^2-24x+6x^2-6x-48`

Add and subtract like terms

`3x^3+3x^2-30x-48`

Hence, the correct option is A)
`3x^3+3x^2-30x-48`