Factor by Cyclic Expressions calculator

SolutionHelpFormulas

Solution

Solution provided by AtoZmath.com

25x2-36 $25x^2-36$

x3+27 $x^3+27$

x3-64y3 $x^3-64y^3$

x2+6x+9 $x^2+6x+9$

x2+10x+24 $x^2+10x+24$

4x2+y2+1+4xy+4x+2y $4x^2+y^2+1+4xy+4x+2y$

x3-3x2-6x+8 $x^3-3x^2-6x+8$

Example

(1) a2(b-c)+b2(c-a)+c2(a-b) $a^2(b-c)+b^2(c-a)+c^2(a-b)$

=a2(b-c)-b2(a-c)+c2(a-b) $=a^2(b-c)-b^2(a-c)+c^2(a-b)$

=a2b-a2c-ab2+b2c+ac2-bc2 $=a^2b-a^2c-ab^2+b^2c+ac^2-bc^2$

=a2b-a2c-ab2+ac2+b2c-bc2 $=a^2b-a^2c-ab^2+ac^2+b^2c-bc^2$

=(a2b-a2c)+(-ab2+ac2)+(b2c-bc2) $=(a^2b-a^2c)+(-ab^2+ac^2)+(b^2c-bc^2)$

=a2(b-c)+(-a)(b2-c2)+bc(b-c) $=a^2(b-c)+(-a)(b^2-c^2)+bc(b-c)$

=a2(b-c)+(-a)(b-c)(b+c)+bc(b-c) $=a^2(b-c)+(-a)(b-c)(b+c)+bc(b-c)$

=(b-c)(a2+(-a)(b+c)+bc) $=(b-c)(a^2+(-a)(b+c)+bc)$

=(b-c)(a2-ab-ac+bc) $=(b-c)(a^2-ab-ac+bc)$

=(b-c)((-ab+bc)+(a2-ac)) $=(b-c)((-ab+bc)+(a^2-ac))$

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

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

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

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

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

Factoring Polynomials Formulas

mx+my=m(x+y) $mx + my = m(x + y)$
2.

x2-y2=(x-y)(x+y) $x^2 - y^2 = (x - y)(x + y)$
3.

x3-y3=(x-y)(x2+xy+y2) $x^3 - y^3 = (x - y)(x^2 + xy + y^2)$
4.

x3+y3=(x+y)(x2-xy+y2) $x^3 + y^3 = (x + y)(x^2 - xy + y^2)$
5.

(x+y)2=x2+2xy+y2 $(x + y)^2 = x^2 + 2xy + y^2$
6.

(x-y)2=x2-2xy+y2 $(x - y)^2 = x^2 - 2xy + y^2$
7.

(x+y)3=x3+y3+3xy(x+y) $(x + y)^3 = x^3 + y^3 + 3xy(x + y)$
8.

(x-y)3=x3-y3-3xy(x-y) $(x - y)^3 = x^3 - y^3 - 3xy(x - y)$
9.

(x+y+z)2=x2+y2+z2+2xy+2yz+2zx $(x + y + z)^2 = x^2 + y^2 + z^2 + 2xy + 2yz + 2zx$