x^2 = x^2-1 = x^2-1 = (x-1)(x+1) -x = 1
x-1 x-1
Is this right, please help thanks
Are you factoring?
Yes, I need to understand why this is right, please help...
If you factor x^2-1 = you get (x-1)(x+1)
You can check your answer using FOIL
Let's analyze the expressions step by step to determine if they are mathematically correct.
1. x^2 = x^2 - 1:
This expression is not mathematically correct. The equation would be true if we subtracted 1 from both sides:
x^2 -1 = x^2 - 1 - 1
which simplifies to:
x^2 - 1 = x^2 - 2
2. x^2 - 1 = x^2 - 1:
This expression is a true statement. When both sides of the equation are identical, it means that any value of x would make the equation true.
3. x^2 - 1 = (x-1)(x+1):
This expression is also mathematically correct. It represents the factored form of the left side of the equation using the difference of squares formula.
4. -x = 1:
This expression implies that x is equal to -1, as multiplying -1 by -1 gives 1.
5. (x-1)/(x-1):
This expression is equivalent to 1, as any value divided by itself equals 1 (excluding zero).
Based on this analysis, your expressions contain a mixture of correct and incorrect statements.