Fills in the missing element
We have hundreds of course questions with personalized recommendations + Account 100% premium
Fills in the missing element
Let's solve this problem step by step.
Step 1: Apply the distributive property to the left-hand side.
The expression expands to:
Step 2: Distribute each term:
In equation form:
Now, compare this with the given equation: .
Notice that doesn't present on the right-hand side, indicating no term in should exist. Moreover, right-hand terms and have no zero counterparts on complex variables (polynomial formation), indicating inconsistencies in all forms with possible simple polynomial inequivalence.
Step 3: Analysis shows inability to correlate purely intuitively with missing match coefficients specifically implies an inadequacy here in probabilistic assumptions, leading us to:
Therefore, the solution to the problem with the provided options is No adequate solution.
No adequate solution
\( (x+y)(x-y)= \)
When we expand , we get a term that cannot be eliminated no matter what we substitute for the missing value. Since the right side has no term, the equation is impossible.
After expanding and simplifying, compare the structure of both sides. If one side has terms (like ) that the other side cannot possibly have, then no solution exists.
You'd get contradictory equations! For example, trying to match coefficients would require for all values of b, which is impossible.
Possibly! If the right side were instead, then we could find the missing term. Always work with what's given and recognize when no solution exists.
Most distribution problems have solutions, but this one tests your ability to recognize impossible equations. It's important to know that not all mathematical problems have solutions!
Get unlimited access to all 18 Algebraic Technique 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