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

Simple and best practice solution for (x+y+z)(x-y-z)=x^2-y^2-z^2 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 (x+y+z)(x-y-z)=x^2-y^2-z^2 equation: 


Simplifying
(x + y + z)(x + -1y + -1z) = x2 + -1y2 + -1z2

Multiply (x + y + z) * (x + -1y + -1z)
(x(x + -1y + -1z) + y(x + -1y + -1z) + z(x + -1y + -1z)) = x2 + -1y2 + -1z2
((x * x + -1y * x + -1z * x) + y(x + -1y + -1z) + z(x + -1y + -1z)) = x2 + -1y2 + -1z2

Reorder the terms:
((-1xy + -1xz + x2) + y(x + -1y + -1z) + z(x + -1y + -1z)) = x2 + -1y2 + -1z2
((-1xy + -1xz + x2) + y(x + -1y + -1z) + z(x + -1y + -1z)) = x2 + -1y2 + -1z2
(-1xy + -1xz + x2 + (x * y + -1y * y + -1z * y) + z(x + -1y + -1z)) = x2 + -1y2 + -1z2

Reorder the terms:
(-1xy + -1xz + x2 + (xy + -1yz + -1y2) + z(x + -1y + -1z)) = x2 + -1y2 + -1z2
(-1xy + -1xz + x2 + (xy + -1yz + -1y2) + z(x + -1y + -1z)) = x2 + -1y2 + -1z2
(-1xy + -1xz + x2 + xy + -1yz + -1y2 + (x * z + -1y * z + -1z * z)) = x2 + -1y2 + -1z2
(-1xy + -1xz + x2 + xy + -1yz + -1y2 + (xz + -1yz + -1z2)) = x2 + -1y2 + -1z2

Reorder the terms:
(-1xy + xy + -1xz + xz + x2 + -1yz + -1yz + -1y2 + -1z2) = x2 + -1y2 + -1z2

Combine like terms: -1xy + xy = 0
(0 + -1xz + xz + x2 + -1yz + -1yz + -1y2 + -1z2) = x2 + -1y2 + -1z2
(-1xz + xz + x2 + -1yz + -1yz + -1y2 + -1z2) = x2 + -1y2 + -1z2

Combine like terms: -1xz + xz = 0
(0 + x2 + -1yz + -1yz + -1y2 + -1z2) = x2 + -1y2 + -1z2
(x2 + -1yz + -1yz + -1y2 + -1z2) = x2 + -1y2 + -1z2

Combine like terms: -1yz + -1yz = -2yz
(x2 + -2yz + -1y2 + -1z2) = x2 + -1y2 + -1z2

Add '-1x2' to each side of the equation.
x2 + -2yz + -1y2 + -1x2 + -1z2 = x2 + -1y2 + -1x2 + -1z2

Reorder the terms:
x2 + -1x2 + -2yz + -1y2 + -1z2 = x2 + -1y2 + -1x2 + -1z2

Combine like terms: x2 + -1x2 = 0
0 + -2yz + -1y2 + -1z2 = x2 + -1y2 + -1x2 + -1z2
-2yz + -1y2 + -1z2 = x2 + -1y2 + -1x2 + -1z2

Reorder the terms:
-2yz + -1y2 + -1z2 = x2 + -1x2 + -1y2 + -1z2

Combine like terms: x2 + -1x2 = 0
-2yz + -1y2 + -1z2 = 0 + -1y2 + -1z2
-2yz + -1y2 + -1z2 = -1y2 + -1z2

Add 'y2' to each side of the equation.
-2yz + -1y2 + y2 + -1z2 = -1y2 + y2 + -1z2

Combine like terms: -1y2 + y2 = 0
-2yz + 0 + -1z2 = -1y2 + y2 + -1z2
-2yz + -1z2 = -1y2 + y2 + -1z2

Combine like terms: -1y2 + y2 = 0
-2yz + -1z2 = 0 + -1z2
-2yz + -1z2 = -1z2

Add 'z2' to each side of the equation.
-2yz + -1z2 + z2 = -1z2 + z2

Combine like terms: -1z2 + z2 = 0
-2yz + 0 = -1z2 + z2
-2yz = -1z2 + z2

Combine like terms: -1z2 + z2 = 0
-2yz = 0

Solving
-2yz = 0

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Divide each side by '-2'.
yz = 0

Simplifying
yz = 0

The solution to this equation could not be determined.

See similar equations:

| -130=-5(6n+8) | | 12x-5=7x+1 | | 6x+3y+7z-4x+5z-6y= | | 52+x=12 | | 5+x+2=19 | | http://mathsonline.com.au/assets/interactives/images/3245-108-2.p | | 2x+36=5x-27 | | 15+3t=7-t | | x^4-2x^3+x^2-2x+1=0 | | 24m^3+7=0 | | p+q=2q+p*x | | (4X+12)(5X-3)=0 | | 2(-2)+1=y | | -2(1)+5=2(1)+3 | | -2(1)+5=-2(1)+3 | | -2(1)+5=0(1)+3 | | -2(1)+5=1(1)+3 | | -2(4)+5=2(4)+3 | | -2(4)+5=-2(4)+3 | | -2(4)+5=1(2)+3 | | -2(4)+5=1(-2)+3 | | -2(4)+5=0(4)+3 | | -2(4)+5=1(4)+3 | | 4(x+2)-17=1 | | 3x+4-7=5 | | 4y=2(6y)-4 | | 5k+8=45 | | y=-.5(x)+3 | | y=.5(x)+3 | | -5(-5+2.5)=-4(-5)-7.5 | | 5(3y+2)-4y=87 | | 4(x)-3=0(x)+2 |

Equations solver categories