Simplify 3a

Question

3
b
2
+9a
3
b−2ab
2
+4a
3
b
2
by combining like terms.

Answer 1

To simplify the expression \( 3a^3b^2 + 9a^3b - 2ab^2 + 4a^3b^2 \), we will group the like terms together.

1. Identify the like terms in the expression:

   • Terms with \( a^3b^2 \): \( 3a^3b^2 \) and \( 4a^3b^2 \)
   • Terms with \( a^3b \): \( 9a^3b \)
   • Terms with \( ab^2 \): \( -2ab^2 \)

2. Combine the like terms:

   • For the \( a^3b^2 \) terms: \[ 3a^3b^2 + 4a^3b^2 = 7a^3b^2 \]
   • The \( a^3b \) term remains the same: \[ 9a^3b \]
   • The \( ab^2 \) term remains the same: \[ -2ab^2 \]

3. Write the combined expression: \[ 7a^3b^2 + 9a^3b - 2ab^2 \]

Thus, the simplified expression is: \[ \boxed{7a^3b^2 + 9a^3b - 2ab^2} \]