Question

DO FOLLOWING QUESTIONS: -
Q1. Visualise 3.5454 on the number line.
Q2. Represent √17 on Number line.
Q3. Simplify 8√45+2√50-3√147.
Q4. If x=√3-2,find the value of (x+1/x )³.
Q5. If x+2y=8 and xy=2 find the value of x²+4y².
Q6. If x+y+z=0 and x²+y²+z²=12, then find the value of xy+yz+zx.
Q7. If a=3+b, prove that a³-b³-9ab=27.
Q8. Factorise 9x²+27x+20.
Q9. Factorise 343+27t³.
Q10. Plot the points and write the name of the figure obtained: P(-3,2),Q(-7,-3),R(6,-3),S(2,2).
Q11. Plot the points A(0,3) ,B(5,3), C(4,0) and D(-1,0) on the graph paper.
Q12. Plot the points (1, 1) (2,-3) (-1,-2).Join them .Are they collinear or not?
Q13. Find three rational no. between 3/5 and 7/8.
Q14.Locate √10 on the number line.
Q15. If a=5+2√6 and b=1/a, then find the value of a²+b².
Q16.Find the value of (106)³ – (94)³.
Q17.Evaluate 104x96 using identity.
Q18.Factorise x³+7x²+14x+8.

Answer 1

Answer:

 (a-b)•(a2+ab+b2) =

            a3+a2b+ab2-ba2-b2a-b3 =

            a3+(a2b-ba2)+(ab2-b2a)-b3 =

            a3+0+0-b3 =

            a3-b3

Answer 2

Answer:

 (a-b)•(a2+ab+b2) =

            a3+a2b+ab2-ba2-b2a-b3 =

            a3+(a2b-ba2)+(ab2-b2a)-b3 =

            a3+0+0-b3 =

            a3-b3