Question

1. If x + y = 12 and xy = 32, Find the value of x2
+ y2



2. If 3x + 2y = 12 and xy = 6, find the value of 9x2
+ 4y2


3. Write the following cubes in the expanded form:

(i) (3a + 4b)3.

(ii) (5p – 3q)3

6. If a + b + c = 15 and a2
+ b2
+ c2
= 83, find the value of a3
+ b3
+ c3
– 3abc.


7. Factorize:

(i) 6ab – b
^2
+ 12ac – 2bc


(ii) 9(2a – b)2
– 4(2a – b) – 13


8. If x^3
+ ax^2
– bx + 10 is divisible by x^2
– 3x + 2, find the values of a and b.


9. Using factor theorem, factorize each of the following polynomials:

(i) x^3
– 6x^2
+ 3x + 10

(ii) 2y^3
– 5y^2
– 19y + 42


10. Represent √ 3 on number line.


11. Visualise 2.3469 on number line.


12. Factorise 6x^2 +5x -6 by splitting the middle term and also by using factor theorem.​

Answer 1

Answer:

I will have fun with you

Answer 2

Answer:

This Dagardhariya should be reported and his ID should be banned because he never answers correctly and always talks bad things with girls