3a(a+b)(a-b)=

Simple and best practice solution for 3a(a+b)(a-b)= equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for 3a(a+b)(a-b)= equation:


Simplifying
3a(a + b)(a + -1b) = 0

Multiply (a + b) * (a + -1b)
3a(a(a + -1b) + b(a + -1b)) = 0
3a((a * a + -1b * a) + b(a + -1b)) = 0

Reorder the terms:
3a((-1ab + a2) + b(a + -1b)) = 0
3a((-1ab + a2) + b(a + -1b)) = 0
3a(-1ab + a2 + (a * b + -1b * b)) = 0
3a(-1ab + a2 + (ab + -1b2)) = 0

Reorder the terms:
3a(-1ab + ab + a2 + -1b2) = 0

Combine like terms: -1ab + ab = 0
3a(0 + a2 + -1b2) = 0
3a(a2 + -1b2) = 0
(a2 * 3a + -1b2 * 3a) = 0

Reorder the terms:
(-3ab2 + 3a3) = 0
(-3ab2 + 3a3) = 0

Solving
-3ab2 + 3a3 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '3a'.
3a(-1b2 + a2) = 0

Factor a difference between two squares.
3a((b + a)(-1b + a)) = 0

Ignore the factor 3.

Subproblem 1

Set the factor 'a' equal to zero and attempt to solve: Simplifying a = 0 Solving a = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a = 0

Subproblem 2

Set the factor '(b + a)' equal to zero and attempt to solve: Simplifying b + a = 0 Reorder the terms: a + b = 0 Solving a + b = 0 Move all terms containing a to the left, all other terms to the right. Add '-1b' to each side of the equation. a + b + -1b = 0 + -1b Combine like terms: b + -1b = 0 a + 0 = 0 + -1b a = 0 + -1b Remove the zero: a = -1b Simplifying a = -1b

Subproblem 3

Set the factor '(-1b + a)' equal to zero and attempt to solve: Simplifying -1b + a = 0 Reorder the terms: a + -1b = 0 Solving a + -1b = 0 Move all terms containing a to the left, all other terms to the right. Add 'b' to each side of the equation. a + -1b + b = 0 + b Combine like terms: -1b + b = 0 a + 0 = 0 + b a = 0 + b Remove the zero: a = b Simplifying a = b

Solution

a = {0, -1b, b}

See similar equations:

| 6x+4y=57 | | 7p+6=5p-2 | | -5x-8y=-3 | | 0.2(3x+0.2)= | | 2x-7y=-9 | | 12x^2+0x+1=0 | | 2(y-3)=3y-5 | | n-2+6=-4 | | 1-1/4-(-7/8)= | | 0=50t^2-550t+600 | | 5x-55=0 | | 5.7x-1=4.7x | | 40-11x=17+12x | | -2a-8(6a+4)=-8+6(2a-4) | | 2(x-8)=-x-5 | | 8(x-2)+6=-10 | | 3x+180+1.5x+x=445 | | 4(t-2)+9t=3t-6 | | 3x+1.5x+x+180=445 | | fx=x^2+3x-1 | | 16s^2+40s-25=0 | | 14y^4-7y^2=0 | | (x-2)+(2x+2)=4x+x | | 5(x+2)-9(x-2)=0 | | x^2+25x-36=0 | | 230+h=1265 | | 0=t(5t+3) | | =3a+4b | | y=(4x+3)2 | | 25x+3=4x+18 | | y=(x+1)(3x+4) | | 14=3(3x-1) |

Equations solver categories