Simplify by removing the inner parentheses first and working...

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Key Concepts

Distributive Property

The distributive property allows you to multiply a single term by each term within parentheses. It is particularly useful when removing parentheses that are preceded by a negative sign, turning an expression like -(a + b) into -a - b.

Combining Like Terms

After the parentheses have been removed and distribution has been applied, similar terms in the algebraic expression should be combined to further simplify the expression. This involves adding or subtracting coefficients of variables that are the same.

Order of Operations

In algebra, the order of operations dictates that calculations inside parentheses are performed first. When expressions have nested parentheses, you start by simplifying the innermost parentheses and then work outward, ensuring every operation is executed in the correct sequence.

Removal of Parentheses

Removing parentheses involves rewriting an algebraic expression without grouping symbols. This process often requires the cautious application of the distributive property, especially when negative signs or coefficients are positioned directly in front of the parentheses.

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