Home > Algebra calculators > Cyclic Expressions Factoring Polynomials calculator

Method and examples
Method
Factoring Polynomials
Cyclic Expressions
Equation :

Expand and simplify polynomial expressions (FOIL Method) calculator
SolutionHelpFormulas
Factor by Cyclic Expressions calculator
1. 25x^2-36
2. x^3+27
3. x^3-64y^3
4. x^2+6x+9
5. x^2+10x+24
6. 4x^2+y^2+1+4xy+4x+2y
7. x^3-3x^2-6x+8


Example
(1) a^2(b-c)+b^2(c-a)+c^2(a-b)

=a^2(b-c)-b^2(a-c)+c^2(a-b)

=a^2b-a^2c-ab^2+b^2c+ac^2-bc^2

=a^2b-a^2c-ab^2+ac^2+b^2c-bc^2

=(a^2b-a^2c)+(-ab^2+ac^2)+(b^2c-bc^2)

=a^2(b-c)+(-a)(b^2-c^2)+bc(b-c)

=a^2(b-c)+(-a)(b-c)(b+c)+bc(b-c)

=(b-c)(a^2+(-a)(b+c)+bc)

=(b-c)(a^2-ab-ac+bc)

=(b-c)((-ab+bc)+(a^2-ac))

=(b-c)((-b)(a-c)+a(a-c))

=(b-c)(a-c)((-b)+a)

=(b-c)(a-c)(-b+a)

=(b-c)(a-c)(-1)(b-a)

=-(b-c)(a-c)(b-a)


 




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