Here, We deal with Some Special Products in Polynomials.
Certain products of Polynomials occur more often
These are to be remembered as Formulas in Algebra.
Remembering these formulas in Algebra is as important
We give a list of these Formulas and Apply
We give Links to other Formulas in Algebra.
Here is the list of Formulas in
Algebra Formula 1 in Polynomials: (a + b)2 = a2 + 2ab + b2 (a - b)2 = a2 - 2ab + b2 (a + b)(a - b) = a2 - b2 (a + b)(a2 - ab + b2) = a3 + b3 (a - b)3 = a3 - 3a2b + 3ab2 - b3 = a3 - 3ab(a - b) - b3
in Algebra. They are to be considered specially.
as remembering multiplication tables in Arithmetic.
them to solve a Number of problems.
Polynomials which are very useful in Algebra.
Formulas in Polynomials :
Square of Sum of Two Terms:
Algebra Formula 2 in Polynomials:
Square of Difference of Two Terms:
Algebra Formula 3 in Polynomials:
Product of Sum and Difference of Two Terms:
Algebra Formula 4 in Polynomials:
Product giving Sum of Two Cubes:
Algebra Formula 5 in Polynomials:
Cube of Difference of Two Terms:
Algebra Formula 8 in Polynomials:
Each of the letters in fact represent a TERM.
e.g. The above Formula 1 can be stated as
(First term + Second term)2
= (First term)2 + 2(First term)(Second term) + (Second term)2
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