Question

Write as a polynomial. a(a+9b)^2

Answer 1

Answer: a^3+81ab^2
First, you square (a+9b) which will become (a^2+81b^2)
Then, you multiply it by a and you will get a^3+81ab^2

Answer 2

The expression a(a + 9b)^2 can be fully written as a polynomial:

a^3 + 18ab^2 + 81a^2 b^2

Step-by-step explanation:

We can use the distributive property to expand the parentheses in the expression:

a(a + 9b)^2 = a * (a^2 + 18ab + 81b^2)

Multiplying a by each term in the parentheses:

a^3 + 18ab^2 + 81a^2 b^2

Therefore, the fully written polynomial form of the expression is a^3 + 18ab^2 + 81a^2 b^2.