give me the formulas of algebra
chapter class 9
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Algebraic expressions
Factorization
In mathematics, factorization or factoring is the decomposition of an object (for example, a number, a polynomial, or a matrix) into a product of other objects, or factors, which when multiplied together give the original.
Some important formulas
a2 - b2 = (a-b)(a+b)
Difference of Cubes
a3 - b3 = (a - b)(a2+ ab + b2)
Sum of Cubes
a3 + b3 = (a + b)(a2 - ab + b2)
Formula for (a+b)2 and (a-b)3
(a + b)2 = a2 + 2ab + b2
(a - b)2 = a2 - 2ab +b2
(a + b)3 = a3 + 3a2b + 3ab2 + b3
(a - b)3 = a3 - 3a2b + 3ab2 - b3
Factorization
In mathematics, factorization or factoring is the decomposition of an object (for example, a number, a polynomial, or a matrix) into a product of other objects, or factors, which when multiplied together give the original.
Some important formulas
a2 - b2 = (a-b)(a+b)
Difference of Cubes
a3 - b3 = (a - b)(a2+ ab + b2)
Sum of Cubes
a3 + b3 = (a + b)(a2 - ab + b2)
Formula for (a+b)2 and (a-b)3
(a + b)2 = a2 + 2ab + b2
(a - b)2 = a2 - 2ab +b2
(a + b)3 = a3 + 3a2b + 3ab2 + b3
(a - b)3 = a3 - 3a2b + 3ab2 - b3
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