Algebraic expressions (Part 2): ExponentsALGEBRAIC FRACTIONSSimplify the following expression:2r2โ8r232๐2โ8๐23INSTRUCTION: Use the ^ symbol to type an exponent if necessary. For example for r2๐2 type r^2.Answer: 2 attempts remaining
Question
Algebraic expressions (Part 2): ExponentsALGEBRAIC FRACTIONSSimplify the following expression:2r2โ8r232๐2โ8๐23INSTRUCTION: Use the ^ symbol to type an exponent if necessary. For example for r2๐2 type r^2.Answer: 2 attempts remaining
Solution
The given expression is 2r^2 - 8r^2/3.
Step 1: First, we need to find a common denominator for the fractions. The common denominator of 1 (the implicit denominator of 2r^2) and 3 is 3.
Step 2: Rewrite the fractions with the common denominator. This gives us (2r^2 * 3)/3 - 8r^2/3 = 6r^2/3 - 8r^2/3.
Step 3: Now that the fractions have the same denominator, we can simply subtract the numerators: (6r^2 - 8r^2)/3 = -2r^2/3.
So, the simplified form of the given expression is -2r^2/3.
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