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- There are four rules or identities used to factor a binomial1:
- ax + ay = a (x + y)
- x 2 - y 2 = (x+y) (x-y)
- a 3 + b 3 = (a + b) (a 2 - ab + b 2)
- a 3 - b 3 = (a - b) (a 2 + ab + b 2)
- 2a^2 + 8a^3 = 2a^2 (1 + 4a)
- x^4 – 36 = (x^2 + 6) (x^2 - 6)
- x² - 49 = (x-7) (x+7)
Learn more:✕This summary was generated using AI based on multiple online sources. To view the original source information, use the "Learn more" links.There are four rules or identities used to factor a binomial which are given below:
- ax + ay = a (x + y)
- x 2 - y 2 = (x+y) (x-y)
- a 3 + b 3 = (a + b) (a 2 - ab + b 2)
- a 3 - b 3 = (a - b) (a 2 + ab + b 2)
www.cuemath.com/algebra/binomial/Factoring Binomials Examples A binomial is an expression in Math that contains two terms. (1.1) Factor 2a^2 + 8a^3. Solution2a^2 is a common factor of both terms. 2a^2 + 8a^3 space = space 2a^2 (1 + 4a)(1.2) Factor x^4 – 36.www.learnermath.com/factoring-binomials-examplesFor example, if you wanted to factor the binomial: x² - 49, you would notice that both x² and 49 are squares: x² = (x) (x) 49= (7) (7) So, another way to write (x ²- 49) is (x ²- 7²) Therefore, you can use the DOTS method for factoring binomials. In this case, a = x and b = 7, so: (a ²- b²) = (a+b) (a-b) → (x ²- 7²) = (x-7) (x+7)www.mashupmath.com/blog/how-to-factor-polyno… - bing.com › videosWatch full videoWatch full videoWatch full videoSee more
Binomial - Meaning, Coefficient, Factoring, Examples
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