We have hundreds of course questions with personalized recommendations + Account 100% premium
To solve this problem, we'll follow these steps:
Step 1: Apply the distributive property to expand the expression.
Step 2: Perform the multiplication for each pair of terms.
Step 3: Combine any like terms.
Now, let's work through each step:
Step 1: We have the expression . We'll distribute each term in the first binomial across each term in the second binomial.
Step 2: The expression expands by distributing as follows: .
Step 3: Perform the multiplications: .
Note that there are no like terms to combine further.
Therefore, the solution to the problem is .
Are the expressions the same or not?
\( 3+3+3+3 \)
\( 3\times4 \)
When you multiply two binomials, you get four terms because each term in the first binomial multiplies each term in the second. That's 2 × 2 = 4 terms total!
Treat the fraction just like any other number! When you multiply , you get . The variable goes next to the fraction.
No! These are not like terms because one has variable x and the other has variables mx. Only combine terms with exactly the same variables and exponents.
The order doesn't matter in addition! is the same as .
Try substituting simple values like x = 1 and m = 1 into both the original expression and your answer. If they give the same result, you're correct!
Get unlimited access to all 18 Algebraic Expressions questions, detailed video solutions, and personalized progress tracking.
Unlimited Video Solutions
Step-by-step explanations for every problem
Progress Analytics
Track your mastery across all topics
Ad-Free Learning
Focus on math without distractions
No credit card required • Cancel anytime