Question

Q3. If x=3,y=-1 and z=2 find the value of
i)x²+y²+z²-xy-yz-zx

Answer 1

Answer:

Home About Online Coaching

Search for topics in Tuition

if x^2+y^2+z^2=xy+yz+zx then find the value of x^3+y^3+z^3

Asked by Sanju 22/06/2019 Last Modified 29/10/2020

Tuition

237 Answers

Haripriya M

Tutor

22/06/2019

We will work with the RHS part here,

(x + y+ z)( x² +y² +z² - xy - yz - zx)

Expanding the entire bracket,

= x³ + xy² + xz² - x²y - xyz -zx² + yx + y³ + yz² - xy² - y²z - xyz + zx² + zy² + z³ - xyz - yz² - z²x

=x³ + y³ +z³ - 3xyz

This is equal to LHS

Hence proved

read less

78 Comments

Answer 2

Step-by-step explanation:

hope it helps

have a good day

thanks