Question

What is 4x2+12x+84x2
?(1 point)

Answer 1

What is 4x2+12x+84x2
?(1 point)
Incorrect

What does the Division of Exponents Rule say?

Answer 2

To simplify the expression \( 4x^2 + 12x + 84x^2 \), first combine like terms:

1. Combine the \( x^2 \) terms:
\[
4x^2 + 84x^2 = 88x^2
\]

2. The \( x \) term remains as \( 12x \).

Putting it all together, the simplified expression is:
\[
88x^2 + 12x
\]

Thus, \( 4x^2 + 12x + 84x^2 = 88x^2 + 12x \).

Answer 3

The expression \( 4x^2 + 12x + 84x^2 \) can be simplified as follows:

1. Combine the like terms (the terms that include \( x^2 \)):
- \( 4x^2 + 84x^2 = 88x^2 \)

2. The linear term \( 12x \) remains unchanged.

Combining these gives:
\[
88x^2 + 12x
\]

So the expression simplifies to \( 88x^2 + 12x \).

---

### Division of Exponents Rule

The Division of Exponents Rule states that when you divide two expressions with the same base, you subtract the exponent in the denominator from the exponent in the numerator. This can be expressed mathematically as:

\[
\frac{a^m}{a^n} = a^{m-n}
\]

where \( a \) is the base, \( m \) is the exponent of the numerator, and \( n \) is the exponent of the denominator, provided that \( a \neq 0 \).