Question : Simplify (a/bc + b/ac + c/ab) 2
Answers
Answer:
hi
Step-by-step explanation:
ii) 5x2
– 9y2
iii) x2 + 4y2
– 9z2
– 4xy iv) 16 – a
4
25. Factorize the following :
i) 4x2 + 9y2 + 16z2 + 12xy + 24yz + 16xz ii) 9x2 + y2 + 4z2 + 6xy – 4yz – 12xz
26. If
x y z 7 5, 5 3, 3 7
, then find the value of x3 + y3 + z3
– 2xyz.
27. Factorise : (x – y)3 + (y – z)3 + (z – x)3
28. If a + b + c = 0, the prove that
2 2 2
3
a b c
bc ca ab
.
29. Simplify:
3 3 3 2 2 2 2 2 2
3 3 3
a b b c c a
a b b c c a
30. Show that (3a + 2b – c + d)2
– 12a(2b – c + d) is a perfect square.
31. Find the square root of ( ab – ac – bc)2 + 4abc(a + b)
32. Show that ( x + 1) ( x + 2) ( x + 3) ( x + 4) + 1 is a perfect square.
33. If ax2 + bx + c is a perfect square, then prove that b2 = 4ac
34. Show that f(x, y, z) = ax2 + 2bxyz + ay2 + cz is not absolutely symmetric.
35. Factorise a2
(b – c) + b2
(c – a) + c2
(a – b)
36. Factorize a4
(b – c) + b4
(c – a) + c4
(a – b)