Question

Q:1 Calculate the following.
i) Factorise: 27x3+y3 +z3- 9xyz
ii)Evaluate the following using appropriate identity.
104x 96​

Answer 1

Step-by-step explanation:

i) 27x^3+y^3+z^3-9xyz

(3x) ^3+(y) ^3+(z) ^3-3×3x×y×z

Using a3+b3+c3-3abc=(a+b+c) (a2+b2+c2-ab-bc-ca)

(3x+y+z) ((3x) ^2+(y) ^2+(z) ^2-3x×y-y×z-z×3x))

(3x+y+z)(9x^2+y^2+z^2-3xy-yz-3xz) is your ans.

Pls mark it as brainliest answer.

ii) 104×96

(100+4)(100-4) {Using (a+b) (a-b)=a^2-b^2

(100) ^2-(4) ^2=10000-16=9984

9984 is your answer.

Pls mark it as brainliest answer.