Question

Write the expression 18a^2b^2+7ab-b^2+4a^3 write in standard form

a) 4a^3+18a^2b^2+7ab-b^2
b) 4a^3+18a^2b^2-b^2+7ab
c) 4a^3-b^2+18a^2b^2+7ab
d) 18a^2b^2+4a^3+-b^2+7ab

Answer 1

The correct expression written in standard form is 4a^3 + 18a^2b^2 - b^2 + 7ab.

Step-by-step explanation:

The correct expression written in standard form is 4a^3 + 18a^2b^2 - b^2 + 7ab.

To rewrite the expression in standard form, we arrange the terms in descending order of their exponents. So, we start with the highest exponent, which is a^3. Then, we move on to the next highest exponent, which is a^2. After that, we consider the linear term ab. Finally, we include the constant term -b^2. Thus, the expression in standard form is 4a^3 + 18a^2b^2 - b^2 + 7ab.