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 .