Yes.
If th equestion meant: (x+y+z)^2The expansion is:(x+y+z)^2= x^2+2xy+y^2+2yz+z^2+2zx
xy + y = z xy = z - y (xy)/y = (z - y)/y x = (z - y)/y
x + y + z = 12 y = 1 x - y - z = 0 Substitute y = 1 in the other two equations: x + 1 + z = 12 so that x + z = 11 and x - 1 - z = 0 so that x - z = 1 Add these two equations: 2x + 0z = 12 which implies that x = 6 and then x + z = 11 gives z = 5 So the solution is (x, y, z) = (6, 1, 5)
(x+y)^2+z^2=x^2+y^2+z^2+2xy or ((x+y)^2+z)^2= (x^2+y^2+2xy+z)^2= x^4+y^4+z^2+6x^2y^2+4x^3y+2x^2z^2+4xy^3+4xyz^2+2z^2y^2
What are we solving here for, Z, X, or Y?If solve for Z then the answer would be z = x + yIf solve for X then the answer would be z = z - yIf solve for Y than the answer would y = z - xHope this help.
x + y + z = x + z + y is the commutative property of addition.
If th equestion meant: (x+y+z)^2The expansion is:(x+y+z)^2= x^2+2xy+y^2+2yz+z^2+2zx
To multiply a binomial by a trinomial, you apply the distributive property. First, take each term of the binomial and multiply it by each term of the trinomial. For example, if you have (a + b)(x + y + z), you would compute a(x + y + z) + b(x + y + z), resulting in ax + ay + az + bx + by + bz. Finally, combine like terms if necessary.
To find the cube of a trinomial ((a + b + c)^3), you can use the formula ((x+y+z)^3 = x^3 + y^3 + z^3 + 3(x+y)(y+z)(z+x)). First, calculate the cubes of each term: (a^3), (b^3), and (c^3). Then, find the products of the pairs of terms and multiply by 3. Finally, combine all these results to get the expanded form of the cube of the trinomial.
(y - z)(y - 5z)
That depends on the values of 'z', 'y', and 'x'.
True
y=84-72=12 z=84-52=32 x=84-12-32=40
(1/x) + (1/y) + (1/z) is a minimum value when x=y=z=10. Symmetry gives either maximum or minimum value.
No, this is the commutative property. For addition, the associative property is: x + (y + z) = (x + y ) + z
xy + y = z xy = z - y (xy)/y = (z - y)/y x = (z - y)/y
x + y + z = 0 x = a - b, y = b - c, z = c - a, therefore a - b + b - c + c - a = ? a - a + b - b + c - c = 0