Ask a New Question
Menu

Rewrite the expression 2a3b+6a2b2 by factoring out the GCF.(1 point) Responses 2a2(a+3b) 2 a superscript 2 baseline left parenthesis a plus 3 b right parenthesis 2a2b(ab+3ab) 2 a superscript 2 baseline b left parenthesis a b plus 3 a b right parenthesis 2a2(ab+3b) 2 a superscript 2 baseline left parenthesis a b plus 3 b right parenthesis 2a2b(a+3b)

1 answer

To factor the expression \(2a^3b + 6a^2b^2\) by finding the greatest common factor (GCF):

  1. Identify the GCF of the coefficients: the GCF of 2 and 6 is 2.
  2. Identify the common variables: the lowest powers are \(a^2\) and \(b\).
  3. Therefore, the GCF of the entire expression is \(2a^2b\).

Now, factor \(2a^2b\) out of the expression:

\[ 2a^3b + 6a^2b^2 = 2a^2b(a + 3b) \]

Thus, the expression can be rewritten as:

\[ 2a^2b(a + 3b) \]

The correct response is:

\(2a^2b(a + 3b)\)