is x2 - 1 a multiple of (x-1)
Answers
Answer:
Yes
Step-by-step explanation:
Given,
x^2 - 1
To find whether (x^2-1) is a multiple of (x-1).
We know that,
If a number 'a' is a multiple of any given number 'b',
Then, 'a' must comes in table of 'b'.
Or, we can say that,
'a' is m times b, i.e.,
=> a = mb
Where, m is any real number.
Now, we have,
x^2 - 1
= (x+1)(x-1)
= m(x-1)
Where, m = (x+1)
Clearly, it satisfies the required conditions.
Hence, (x^2 - 1) is a multiple of (x-1).
Answer:
Given,
x^2 - 1
To find whether (x^2-1) is a multiple of (x-1).
We know that,
If a number 'a' is a multiple of any given number 'b',
Then, 'a' must comes in table of 'b'.
Or, we can say that,
'a' is m times b, i.e.,
=> a = mb
Where, m is any real number.
Now, we have,
x^2 - 1
= (x+1)(x-1)
= m(x-1)
Where, m = (x+1)
Clearly, it satisfies the required conditions.
Hence, (x^2 - 1) is a multiple of (x-1).
Step-by-step explanation: