Question

the property used to expand expressions and eliminate parentheses is called _____________.
terms that have the same variable raised to the same power are called _____________.
the process of combining like terms involves adding or subtracting _____________.
to reduce fractions, you must find the _____________.
simplifying expressions with powers requires the application of _____________ laws.
the operation used to multiply a single term by each term inside parentheses is called _____________.

Explanation:

First Question:

The distributive property (also called the distributive law of multiplication over addition/subtraction) is used to expand expressions by multiplying a term outside parentheses with each term inside, thus eliminating parentheses.

Like terms are defined as terms that have the same variable(s) raised to the same power(s). For example, \(3x^2\) and \(5x^2\) are like terms.

When combining like terms, we add or subtract their coefficients. For example, in \(3x + 5x\), we add the coefficients \(3\) and \(5\) to get \(8x\).

Answer:

distributive property

Second Question: