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If x+y+z=0 then show that x3+y3+z3=3xyz | Ex 2.5 class 9
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Exercise 2.5 class 9
If x+y+z=0 then show that x^3+y^3+z^3=3xyz
or
If x+y+z=0 then show that x cube +y cube +z cube=3xyz
Identity📝:
x^3 + y^3 + z^3 – 3xyz = (x + y + z)(x^2 + y^2 + z^2 – xy – yz – zx)
Refresh your memory 🧠
i. What is a polynomial ?
It is an expression consisting of variables and coefficients and operators.
ii. What is monomial?
A polynomial of one term is monomial
iii. What is an Algebraic Identity?
An Algebraic Identity is an algebraic equation that is true for all values of the variables occurring in it.
Practise 📚:
Verify that x3+y3+z3-3xyz=1/2(x+y+z) [(x-y)2+(y-z)2+(z-x)2]
Revise 👩🏫:
Factorize: x^3-3x^2-9x-5
Factor Theorem [Q1 to Q3]
Chapter 2
Polynomials [2020]
#class9maths #polynomials #algebraic_identity
If x+y+z=0 then show that x^3+y^3+z^3=3xyz
or
If x+y+z=0 then show that x cube +y cube +z cube=3xyz
Identity📝:
x^3 + y^3 + z^3 – 3xyz = (x + y + z)(x^2 + y^2 + z^2 – xy – yz – zx)
Refresh your memory 🧠
i. What is a polynomial ?
It is an expression consisting of variables and coefficients and operators.
ii. What is monomial?
A polynomial of one term is monomial
iii. What is an Algebraic Identity?
An Algebraic Identity is an algebraic equation that is true for all values of the variables occurring in it.
Practise 📚:
Verify that x3+y3+z3-3xyz=1/2(x+y+z) [(x-y)2+(y-z)2+(z-x)2]
Revise 👩🏫:
Factorize: x^3-3x^2-9x-5
Factor Theorem [Q1 to Q3]
Chapter 2
Polynomials [2020]
#class9maths #polynomials #algebraic_identity
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