Multiply 2a^2 b(3b^3+4b^5)

Answer 1

To multiply the expression \( 2a^2 b(3b^3 + 4b^5) \), you can use the distributive property:

1. Distribute \( 2a^2 b \) to each term in the parenthesis \( (3b^3 + 4b^5) \).

Let's do the multiplication step by step:

\[ 2a^2 b \cdot 3b^3 = 6a^2 b^{1+3} = 6a^2 b^4 \]

\[ 2a^2 b \cdot 4b^5 = 8a^2 b^{1+5} = 8a^2 b^6 \]

Now combine both results:

\[ 6a^2 b^4 + 8a^2 b^6 \]

So, the final result of the multiplication is:

\[ \boxed{6a^2 b^4 + 8a^2 b^6} \]