Question

9x^2-y^2-z^2+4a^2-2yz +4a^2

Answer 1

Simplifying x2 + y2 + z2 + -2yz + -4 = 0 Reorder the terms: -4 + x2 + -2yz + y2 + z2 = 0 Solving -4 + x2 + -2yz + y2 + z2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + x2 + -2yz + y2 + 4 + z2 = 0 + 4 Reorder the terms: -4 + 4 + x2 + -2yz + y2 + z2 = 0 + 4 Combine like terms: -4 + 4 = 0 0 + x2 + -2yz + y2 + z2 = 0 + 4 x2 + -2yz + y2 + z2 = 0 + 4 Combine like terms: 0 + 4 = 4 x2 + -2yz + y2 + z2 = 4 Add '2yz' to each side of the equation. x2 + -2yz + y2 + 2yz + z2 = 4 + 2yz Reorder the terms: x2 + -2yz + 2yz + y2 + z2 = 4 + 2yz Combine like terms: -2yz + 2yz = 0 x2 + 0 + y2 + z2 = 4 + 2yz x2 + y2 + z2 = 4 + 2yz Add '-1y2' to each side of the equation. x2 + y2 + -1y2 + z2 = 4 + 2yz + -1y2 Combine like terms: y2 + -1y2 = 0 x2 + 0 + z2 = 4 + 2yz + -1y2 x2 + z2 = 4 + 2yz + -1y2 Add '-1z2' to each side of the equation. x2 + z2 + -1z2 = 4 + 2yz + -1y2 + -1z2 Combine like terms: z2 + -1z2 = 0 x2 + 0 = 4 + 2yz + -1y2 + -1z2 x2 = 4 + 2yz + -1y2 + -1z2 Simplifying x2 = 4 + 2yz + -1y2 + -1z2 Reorder the terms: -4 + x2 + -2yz + y2 + z2 = 4 + 2yz + -1y2 + -1z2 + -4 + -2yz + y2 + z2 Reorder the terms: -4 + x2 + -2yz + y2 + z2 = 4 + -4 + 2yz + -2yz + -1y2 + y2 + -1z2 + z2 Combine like terms: 4 + -4 = 0 -4 + x2 + -2yz + y2 + z2 = 0 + 2yz + -2yz + -1y2 + y2 + -1z2 + z2 -4 + x2 + -2yz + y2 + z2 = 2yz + -2yz + -1y2 + y2 + -1z2 + z2 Combine like terms: 2yz + -2yz = 0 -4 + x2 + -2yz + y2 + z2 = 0 + -1y2 + y2 + -1z2 + z2 -4 + x2 + -2yz + y2 + z2 = -1y2 + y2 + -1z2 + z2 Combine like terms: -1y2 + y2 = 0 -4 + x2 + -2yz + y2 + z2 = 0 + -1z2 + z2 -4 + x2 + -2yz + y2 + z2 = -1z2 + z2 Combine like terms: -1z2 + z2 = 0 -4 + x2 + -2yz + y2 + z2 = 0