If `a^4 + b^4 = a^2b^2` , show that ` a^6 + b^6 = 0`

If a + 2b + c= 0 , then show that: a^(3) + 8b^(3) + c^(3)= 6abc

If a, b, c are in A.P, show that (i)a^3+b^3+6abc=8b^3 (ii) (a+2b-c)(2b+c-a)(a+c-b) =4abc

If "log" (a-b)/(2) = (1)/(2) (log a + log b), show that : a^(2) + b^(2) = 6ab .

The product (a+b)(a-b)(a^2-a b+b^2)(a^2+a b+b^2) is equal to: (a) a^6+b^6 (b) a^6-b^6 (c) a^3-b^3 (d) a^3+b^3

a^3 x 2a^2b x 3a b^5 is equal to: (a) a^6b^6 (b) 23 a^6b^6 (c) 6a^6b^6 (d) None of these

If the sides of a DeltaA B C\ are a=4,\ b=6\ a n d\ c=8, show that 4cosB+3cos C=2.

If (-1,\ 2),\ (2,\ -1) and (3,\ 1) are any three vertices of a parallelogram then the fourth vertex (a,b) will be such that (a) a=2 , b=0 (b) a= - 2, b=0 (c) a= - 2, b=6 (d) a=0, b=4

If [a+4 3b8-6] =[2a+2b+2 8a-8b] , write the value of a-2b .

Multiply: -6a^2b c ,2a^2b\ a n d-1/4 (ii) 4/9a^5b^2,\ 10 a^3b\ a n d\ 6

Use the formula : (a+b) (a-b) = a^(2) - b^(2) to evaluate : (vi) 4.6 xx 5.4