CLASS 9 POLYNOMIAL DPP
CLASS – 9th
1. Expand
1) (3/2 x+1)3 2) (x - 2/3 y)3
3) (1/x+y/3)3 4) (1/x+y)3 +(2/x+2y)3
Q.2 i) If x+y=10 and xy=21, find x²+y²
ii) If 2x+y=12 and ny =10, find 8x³+y³
Q.3 If 2n+y=17, xy=35, find 8x²-y³
Q.4 If x²+1/x²=51 find x³-1/x³
Q.5 If x²+1/x²=47 find x³+1/x³
Q.6 If x⁴+1/x⁴=47 find x³+1/x3, x>0
Q.7. Factorise each of following
1) 27p³-1/216 - 9/2p² + 1/4p
2) 1-64a³ -12a + 48a²
Q.8 Evaluate
1) (10.2)³ 2) (1.02)³
Q.9. Expand each of following
1) (1/4 a- 1/2 b+1)^2
2) (-2x+5y-3z)^2
Q.10. factorise:
1) 2x²+y²+8z²-2√2xy +4√2yz-8xz
2) 16x²+4y²+9z²-16xy-12yz +24zx
11. using suitable identity find
i) ((0.137)³ + (0.113)³)/((0.137)² - 0.137x0.113 + (0.113)²)
ii) ((0.237)³ - (0.112)³)/((0.237)² + 0.137x0.113 + (0.112)²)
12. If a+b+c=0 Prove that
a^2/bc+b^2/ca+c^2/ab=3
13. If a+b+c=5 and ab+bc+ca=10
Prove that a³+b³+c³-3abc =-25
14. Verify that x³+y³+z³-3xyz
= 1/2 (x+y+z)[(x-y)² + (y-z)²+(z-x)2]
15. Find, with out actually calculation
i) (0.2)³-(0.3)³+(0.1)³
ii) (½)³ + (⅓)³ - (⁵/₆)³
16. If x/y + y/x = -1 find the value of x³-y³
17. If x²+1/x2=50/7, evaluate x+1/x
18. find remainder when x⁵¹+51 is
divided by x+1
# Continuity is the key of success.
Loyal
