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Is (x-1)^2 equal to x^2-1 ?
I'm a calculus 2 student currently and feel ashamed for not knowing the answer to this. :(
Much thanks.
7 Antworten
- InvisbleLv 4vor 8 Jahren
Nope. If you have x^3 that means x*x*x
So if you have (x-1)^2 that means (x-1)(x-1) which equals to x^2 -2x + 1
- vor 8 Jahren
(x - 1)² = x² - 2x + 1, whilst x²-1 obviously doesn't equal that.
If you want to know how I get x² - 2x + 1 from (x - 1)², you simply square the x to get x², then you multiply x & -1 & 2 to get -2x & then you simply square the last number (-1) to get 1. The general rule is below:
(x - 1)² follows the rule (a + b)² = a² +2ab + b².
- answerINGLv 6vor 8 Jahren
(x-1)^2 = x² -2x +1
It is NOT equal to x² -1.
It is not equal to the square of each term, added together.
The square of a binomial is the square of each term (added together) PLUS
twice the product of the 2 terms: (A ± B)² = A² + B² ±2AB. [The term I've
placed last usually is placed in the middle.]
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- vor 8 Jahren
Use foil
(x-1) (x-1)
x^2 - x - x +1
x^2 - 2x +1
no
Quelle(n): i remember pre algebra haha jk - vor 8 Jahren
(x-1)^2 = (x-1)(x-1) = x^2 - 2x + 1
x^2-1 = x^1 = x.... or did you mean (x^2) - 1? In either case, they're different
- Anonymvor 8 Jahren
We often forget the basics lol no shame. Yes, theyre equal.
Quelle(n): In Algebra two now. Went over it just last year.