How to Simplify Algebraic Expressions
What is the first step in simplifying algebraic expressions?
a) Combine like terms
b) Distribute the multiplication
c) Simplify within parentheses
d) Factor out common terms
Which expression is equivalent to -4b - 2 * 4b²?
a) -4b - 8b²
b) -4b - 8b
c) -4b - 8b³
d) -8b - 4b²
Answer:
The equivalent expression to -4b - 2 * 4b² is -4b - 8b², which is answer a).
When simplifying algebraic expressions, the first step is to distribute any multiplication to terms inside parentheses. This allows us to get rid of the parentheses and combine similar terms more easily.
In the specific example given, -4b - 2 * 4b² simplifies by distributing the 2 to both the -4b and the 4b². This results in -4b - 8b², which is the correct equivalent expression.
Remember, always follow the order of operations when simplifying algebraic expressions. Distribute any multiplication or division first before combining like terms.