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The difference of two squares can also be used as an arithmetical short cut. If two numbers (whose average is a number which is easily squared) are multiplied, the difference of two squares can be used to give you the product of the original two numbers. For example: = (+)
Fermat's factorization method, named after Pierre de Fermat, is based on the representation of an odd integer as the difference of two squares: N = a 2 − b 2 . {\displaystyle N=a^{2}-b^{2}.} That difference is algebraically factorable as ( a + b ) ( a − b ) {\displaystyle (a+b)(a-b)} ; if neither factor equals one, it is a proper ...
The following other wikis use this file: Usage on en.wikiquote.org Geometry; Mathematics education; Usage on es.wikipedia.org Diferencia de dos cuadrados
More generally, the difference of the squares of two numbers is the product of their sum and their difference. That is, a 2 − b 2 = ( a + b ) ( a − b ) {\displaystyle a^{2}-b^{2}=(a+b)(a-b)} This is the difference-of-squares formula , which can be useful for mental arithmetic: for example, 47 × 53 can be easily computed as 50 2 − 3 2 ...
In algebra, an example of an identity is the difference of two squares: = (+) which is true for all x and y. Trigonometry is an area where many identities exist; these are useful in manipulating or solving trigonometric equations. Two of many that involve the sine and cosine functions are:
Photo: Liz Andrew/Styling: Erin McDowell. Time Commitment: 1 hour and 45 minutes. Why We Love It: vegetarian, kid-friendly, crowd-pleaser Another classic comfort food, tomato soup predates the ...
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