About Factorization Formula
To factorise a number, use the factorization formula. Factorization is the process of converting one thing into a product of another thing, or factors, which when multiplied together yield the original number. The factorization approach employs the basic factorization formula to simplify any algebraic or quadratic problem by representing the equations as the product of factors rather than expanding the brackets. An number, a variable, or an algebraic expression can all be factored in an equation. In the parts that follow, we'll learn more about the factorization formula by looking at solved cases.
What is the Factorization Formula?
The factorization formula breaks down a large number into smaller numbers or factors. A factor is a number that divides a given integer by itself without leaving any residual. The factorization formula for a given value is as follows:
where,
- N = Any number
- X, Y, and Z = Factors of number N
- a, b, and c = exponents of factors X, Y, and Z respectively.
Factorization Definition
Factorization is the process of breaking down a large number into smaller numbers that, when multiplied together, return the original value. These figures are divided into factors and divisors. 12 can be divided down into 3 and 4, and these two numbers are known as factors.
List of Factorization Formulas for Algebraic Equation
Many algebraic identities aid in the factorization of algebraic expressions and quadratic problems. Here are a few examples.
- (a + b)2 = a2 + 2ab + b2
- (a − b)2 = a2 − 2ab + b2
- (a + b)3 =a3 + b3 + 3ab(a + b)
- (a – b)3 = a3 – b3 – 3ab(a – b)
- (a + b)4 = a4 + 4a3b + 6a2b2 + 4ab3 + b4
- (a − b)4 = a4 − 4a3b + 6a2b2 − 4ab3 + b4
- (a + b + c)2 = a2 + b2 +c2 + 2ab + 2ac + 2bc
- a2 – b2 = (a + b)(a – b)
- a2 + b2 = (a + b)2 - 2ab
- a3 – b3 = (a – b)(a2 + ab + b2)
- a3 + b3 = (a + b)(a2 – ab + b2)
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