`5a - [a^(2) - {2a (1 - a + 4a^(2)) - 3a(a^(2) - 5a -3)}] - 8a`

Simplify : a^(2) - 2a + {5a^(2) - 3a - 4a^(2)}

(5a^(3)-4a^(2)+3a+18)/(a^(2)-2a+3)

(2a^(2) + a - 1)/(a + 1) + (3a^(2) + 5a + 2)/(3a + 2) + (4 - a^(2))/(a+2) =..

2 (4)/(5) - 1 (3)/(8) + 3 (1)/(2) = ?

If the equation a^(2) x^(2) + (a^(2) - 5a + 4) xy + (3a - 2) y^(2) - 8x + 12y - 4 = 0 represents a circle , then : a =

show that int (1)/((x^(2) + a^(2))^(3)) dx = (1)/(4a^(2)) (x)/((x^(2) + a^(2))^(2)) + (3)/(8a^(4)) (x)/(x^(2) + a^(2)) + (3)/(8a^(5)) tan^(-1) ((x)/(a)) + c

Add the following 5a+2a^2-3a^3+8, -4a^2 +5a^3 -9, -2a+6a^2 -3a^3 , -a+4a^2 -9, 4-a-2a^2 +3a^3

Simplify (i) {(1/3)^(-2) - (1/2)^(-3)} -: (1/4)^(-2). (ii) (5/8)^(-7) xx (8/5)^(-5).

Add the following -2a+5a^2-a^3+2, -5a^2 -2a^3 +4, a-a^2 +3a^3, -2a-3a^2-4, 6-3a+2a^2-2a^3

The sum of 3 expressions is 9 + 14a -8a^2 . Two of them are 3a^2 +4a +3 and 5a^2-2a+5 , Find third expression.