Factor the Expression: Breaking Down 3x³+6a⁴ Step by Step

Note that in the given expression there are two completely different terms, meaning - the letters cannot be factored out, so we will factor out the greatest common factor of the numbers 6 and 3, which is clearly the number 3 and is a factor of both other numbers:$3x^3+6a^4 =3(x^3+2a^4)$After factoring out the common factor outside the parentheses, we will look at each term before factoring out the common factor separately, asking ourselves: "By how much did we multiply the common factor to get the current term?" and fill in the missing parts inside the parentheses while making sure that the sign of the term we completed inside the parentheses when multiplied by the sign of the term we factored out will give us the sign of the original term, it is recommended to verify that the factoring was done correctly by opening the parentheses, performing the multiplications and confirming that we indeed get the expression before factoring.

Therefore, the correct answer is answer B.