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x2 - 1 = (x + 1)(x - 1)
This comes from a formula that is called "The Difference of Squares."
The formula says that when you are subtracting two square numbers from each other that they can always be factored as such:
a2 - b2 = (a + b)(a - b)
Another example would be to factor x2 - 9.
We could rewrite x2 - 9 as x2 - 32 which when we compare it to the formula above helps us to see that a=x and b=3. This yields the result:
a2 - b2=(a + b)(a - b)
x2 - 32 = (x + 3)(x - 3)
And just for good measure here is another example :)
Factor the following polynomial expression:
x2 - 64
Step 1: Rewrite it as the difference of two squares: x2 - 82
Step 2: Plug in a=x and b=8 into the formula above to get: (x + 4)(x - 4)
What else can I help you with?
Factor x squared minus 1?
(x - 1)(x + 1)
How do you factor x cubed minus x squared plus x?
Factor out the GCF and get X(X2-X+1).
How do you factor x squared plus x minus two?
(x-1)(x+2)
How do you factor x cubed minus x?
X squared plus 1 and x minus 1 ---- Actually it is the following: x3-x x(x2-1) x(x+1)(x-1)
How do you factor 5x squared plus 2x minus 7?
(x - 1)(5x + 7)
Factor x squared minus 1?
(x - 1)(x + 1)
How do you factor x squared minus x?
x(x-1)
How do you factor squared minus 7x minus 8?
(x + 1)(x - 8)
How do you factor 4x squared minus 4?
4(x - 1)(x + 1)
How do you factor x squared minus x to the fourth?
x^2(1 - x)(1 + x)
What is the factor of x cube plus three x squared minus x minus three?
(x + 3)(x - 1)(x + 1)
How do you factor x cubed minus x squared plus x?
Factor out the GCF and get X(X2-X+1).
How do you factor x squared plus x minus two?
(x-1)(x+2)
How do you factor 3x squared minus 8x minus 3?
(x-3)(3x+1)
How do you factor x squared minus x plus 1?
x^2-x+1 cannot be factorised
How do you factor x squared minus 5x plus 4?
(x-1)(x-4)
What is the factor to x squared minus 7x plus 6?
(x-6)(x-1)
