Question

Which of ghe following is equivalent to (x+4)(3x^2+2x)?

Answer 1

The given expression is

`(x+4)(3x^2 +2x)`

And in the second factor, x is common. So on taking x out, we will get

`(x+4)(x)(3x+2) = x(x+4)(3x+2)`

We can expand it by distributing , that is

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

`= 3x^3 +2x^2 + 12x^2 +8x`

Combining like terms,

`= 3x^3 +14x^2 +8x`

And that's the expanded form ., and the given expression can also be written in that way .