FOIL Method calculator

SolutionHelpFormulas

Solution

Solution provided by AtoZmath.com

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$x^2$ = x^2 = x2 and 2x = 2*x

1. Expression

$(x + 2)(x + 3)$

$(x + y)(x^2 - xy + y^2)$

$(2x + 3y + 4z)^2$

$(3y - 2x)^3$

$(2x + 3y)^2$

$(x + y)^2 - (x - y)^2$

$(x + y + z)^2 + (x + y - z)^2$

$(3x - 5y)^3 + (5y - 9z)^3 + (9z - 3x)^3$

2. Numeric Expression

$102^2$

$12^3$

$92^3$

$102 * 106$

$34^2 - 32^2$

$10^3 - 7^3 - 3^3$

$4^3 + 3^3$

Example

1. Expand $(2x-1)(4x+5)$

Solution:

$(2x-1)(4x+5)$

FOIL method :

$(a+b)(c+d)=ac+ad+bc+bd$

$=(color{red}{2x}+color{blue}{(-1)})(color{green}{4x}+color{purple}{5})$

$=color{red}{2x}*(color{green}{4x}+color{purple}{5})+color{blue}{(-1)}*(color{green}{4x}+color{purple}{5})$

$=color{red}{2x}*color{green}{4x}+color{red}{2x}*color{purple}{5}+color{blue}{(-1)}*color{green}{4x}+color{blue}{(-1)}*color{purple}{5}$

$=8x^2+10x+(-4x)+(-5)$

$=8x^2+6x-5$

Factoring Polynomials Formulas

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

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

$x^3 - y^3 = (x - y)(x^2 + xy + y^2)$
4.

$x^3 + y^3 = (x + y)(x^2 - xy + y^2)$
5.

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

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

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

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

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