Question

1. higher order thinking write an expression that has only one term and is equivalent to the expression below. \\((f \cdot g^2) + 5 - (g^2 \cdot f)\\)

Explanation:

Step1: Identify like terms

Notice that \( f \cdot g^2 \) and \( - (g^2 \cdot f) \) are like terms. Multiplication is commutative, so \( f \cdot g^2 = g^2 \cdot f \).
\[
(f \cdot g^2) + 5 - (g^2 \cdot f) = (g^2 \cdot f) + 5 - (g^2 \cdot f)
\]

Step2: Combine like terms

Subtract the like terms \( (g^2 \cdot f) - (g^2 \cdot f) = 0 \).
\[
(g^2 \cdot f) + 5 - (g^2 \cdot f) = 0 + 5
\]

Step3: Simplify

Simplify \( 0 + 5 \) to get \( 5 \).
\[
0 + 5 = 5
\]

Answer:

\( 5 \)