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Verify that x^3 + y^3 + z^3 - 3xyz = 1/2(x + y + z)[(x - y)^2 + (y - z) + (z  - x)^2]
Verify that x^3 + y^3 + z^3 - 3xyz = 1/2(x + y + z)[(x - y)^2 + (y - z) + (z - x)^2]

If x + y + z = 10, xy + yz + zx = -15 and xyz = – 12, then find the values  of (i) x^3 + y^3 + z^3 and (ii) x^2 + y^2 + z^2 - Sarthaks eConnect |  Largest Online Education Community
If x + y + z = 10, xy + yz + zx = -15 and xyz = – 12, then find the values of (i) x^3 + y^3 + z^3 and (ii) x^2 + y^2 + z^2 - Sarthaks eConnect | Largest Online Education Community

If x+y+z=0, then the value of x3+y3+z3 is
If x+y+z=0, then the value of x3+y3+z3 is

If [math] x+y+z=0[/math]; then [math]x(y-z) ^3 +y(z-x) ^3 +z(x-y) ^3 =  [/math] ? - Quora
If [math] x+y+z=0[/math]; then [math]x(y-z) ^3 +y(z-x) ^3 +z(x-y) ^3 = [/math] ? - Quora

頭脳王 『x^3+y^3+z^3=42となるx,y,zの整数解を全て求めよ』を短時間で1人以外全員正解…解説もなし…どうやって解けたの? -  Togetter
頭脳王 『x^3+y^3+z^3=42となるx,y,zの整数解を全て求めよ』を短時間で1人以外全員正解…解説もなし…どうやって解けたの? - Togetter

Using Identity VIII x3+y3+z3-3xyz= (x+y+z)(x2+y2+z2-xy-yz-zx) solve the  following question 8x3+y3+27z3-18xyz - Maths - Polynomials - 14387709 |  Meritnation.com
Using Identity VIII x3+y3+z3-3xyz= (x+y+z)(x2+y2+z2-xy-yz-zx) solve the following question 8x3+y3+27z3-18xyz - Maths - Polynomials - 14387709 | Meritnation.com

x^3+y^3+z^3-3xyz=(x+y+z)(x^2+y^2+z^2-xy-yz-zx)/a^3+b^3+c^3-3abc=(a+b+c)(a^2+b^2+c^2-ab-bc-ca)  - YouTube
x^3+y^3+z^3-3xyz=(x+y+z)(x^2+y^2+z^2-xy-yz-zx)/a^3+b^3+c^3-3abc=(a+b+c)(a^2+b^2+c^2-ab-bc-ca) - YouTube

Разложить многочлен на множители:а) (x+y+z)^3-x^3-y^3-z^3б) (x+y+z)(xy+yz+zx)-xyz  - Школьные Знания.com
Разложить многочлен на множители:а) (x+y+z)^3-x^3-y^3-z^3б) (x+y+z)(xy+yz+zx)-xyz - Школьные Знания.com

Factorization of x3+y3+z3-3xyz - YouTube
Factorization of x3+y3+z3-3xyz - YouTube

a) Chứng minh nếu x + y + z = 0 thì x^3 + y^3 + z^3 = 3xyz. b) Áp dụng
a) Chứng minh nếu x + y + z = 0 thì x^3 + y^3 + z^3 = 3xyz. b) Áp dụng

If x+y+z=0 show that x^3+y^3+z^3=3x y z.
If x+y+z=0 show that x^3+y^3+z^3=3x y z.

Verify that X3+y3+z3-3xyz=1/2(x+y+z)[(x-y) 2+(y-z 2(z-x) 2] - Brainly.in
Verify that X3+y3+z3-3xyz=1/2(x+y+z)[(x-y) 2+(y-z 2(z-x) 2] - Brainly.in

Verify That x3+y3+z3-3xyz=1/2(x+y+z) (x-y)2+(y-z)2+(z-x)2 | Class 9th Ex  2.5 Question 12 - YouTube
Verify That x3+y3+z3-3xyz=1/2(x+y+z) (x-y)2+(y-z)2+(z-x)2 | Class 9th Ex 2.5 Question 12 - YouTube

x^3-y^3)^3+(y^3-z^3)^3+(z^3-x^3)^3)/((x-y)^3+(y-z)^3+(z-x)^3)` - YouTube
x^3-y^3)^3+(y^3-z^3)^3+(z^3-x^3)^3)/((x-y)^3+(y-z)^3+(z-x)^3)` - YouTube

What does the graph of [math]x^3+y^3+z^3=1[/math] look like? - Quora
What does the graph of [math]x^3+y^3+z^3=1[/math] look like? - Quora

How to prove that [math](x+y+z)^3 -27xyz\geq0[/math] - Quora
How to prove that [math](x+y+z)^3 -27xyz\geq0[/math] - Quora

Ex 2.5, Q No 12, verify x3+y3+z3-3xyz=1/2(x+y+z)[(x-y)2+(y-z)2+(z-x)2] -  YouTube
Ex 2.5, Q No 12, verify x3+y3+z3-3xyz=1/2(x+y+z)[(x-y)2+(y-z)2+(z-x)2] - YouTube

Factorise the expression , (x + y + z )^3 - x^3 - y^3 - z^3 into linear  factors.
Factorise the expression , (x + y + z )^3 - x^3 - y^3 - z^3 into linear factors.

Simplify: (x3-y3)3+(y3-z3)3+(z3-x3) 3 divided by (x-y)3+(y-z)3+(z-x)3 -  Brainly.in
Simplify: (x3-y3)3+(y3-z3)3+(z3-x3) 3 divided by (x-y)3+(y-z)3+(z-x)3 - Brainly.in

Evaluate x^3+y^3+z^3-3xyz when x=2, y=-1 and z=3.
Evaluate x^3+y^3+z^3-3xyz when x=2, y=-1 and z=3.

Factorize:x3+y3+z3=3xyz.​ - Brainly.in
Factorize:x3+y3+z3=3xyz.​ - Brainly.in

Using the identity: .x3+y3+z3 3 x y z=x+y+zx2+y2+z2 x y y z z x]What is the  value of the expression 0.837 × 0.837 × 0.837 0.163 × 0.163 × 0.163/0.837 ×  0.837+0.837 × 0.163+0.163 × 0.163 ?
Using the identity: .x3+y3+z3 3 x y z=x+y+zx2+y2+z2 x y y z z x]What is the value of the expression 0.837 × 0.837 × 0.837 0.163 × 0.163 × 0.163/0.837 × 0.837+0.837 × 0.163+0.163 × 0.163 ?

Using the identity and proof: x^3 + y^3 + z^3 - 3xyz = (x + y + z)(x^2 + y^2  + z^2 - xy - yz - zx) .
Using the identity and proof: x^3 + y^3 + z^3 - 3xyz = (x + y + z)(x^2 + y^2 + z^2 - xy - yz - zx) .

x+y)3 + ( y + z)3 + ( z+x)3 - 3(x+y)(y+z)(z+x) = 2 ( x3 + y3 + z3 - 3xyz) -  CBSE Class 9 Maths - Learn CBSE Forum
x+y)3 + ( y + z)3 + ( z+x)3 - 3(x+y)(y+z)(z+x) = 2 ( x3 + y3 + z3 - 3xyz) - CBSE Class 9 Maths - Learn CBSE Forum

If x+y+z=0 and (x^(3)+y^(3))/(xyz)=(y^(3)+z^(3))/(xyz)=(x^(3)+z^(3))/(
If x+y+z=0 and (x^(3)+y^(3))/(xyz)=(y^(3)+z^(3))/(xyz)=(x^(3)+z^(3))/(

If x+y+z=9 and xy+yz+zx=23, the value of [x^(3) +y^(3) +z^(3)-3xyz]=? |  EduRev Class 9 Question
If x+y+z=9 and xy+yz+zx=23, the value of [x^(3) +y^(3) +z^(3)-3xyz]=? | EduRev Class 9 Question