" 35."a^(2)b^(2)x^(2)-(4b^(4)-3a^(4))x-12a^(2)b^(2)=0,a!=0" and "

Using quadratic formula,solve the equation a^(2)b^(2)x^(2)-(4b^(4)-3a^(4))x-12a^(2)b^(2)=0

x^(2)-2ax-(4b^(2)-a^(2))=0

Applying formula of quadratic equation, solve the following equations. a^2b^2x^2 - (4b^4 - 3a^4)x - 12a^2b^2=0 .

(a+b)^(2)x^(2)-4abx-(a-b)^(2)=0

Solve 4x^(2)-4ax+(a^(2)-b^(2))=0.

If (a^(4)-2a^(2)b^(2)+b^(4))^(x-1)=(a-b)^(3)(a+b)^(-2) then x=

Find the greatest common factor of the terms in each of the following expressions: 5a^(4)+10a^(3)-15a^(2)( ii) 2xyz+3x^(2)y+4y^(2)3a^(2)b^(2)+4b^(2)c^(2)+12a^(2)b^(2)c^(2)

If p is the length of perpendicular from the origin on the line x/a+y/b=1 and a^(2),p^(2),b^(2) are in A.P., then (A) a^(4)+b^(4)=0 (B) a^(4)-b^(4)=0 (C) a^(2)+b^(2)=0 (D) a^(2)-b^(2)=0

Find the product : (i) (x+3)(x^(2)-3x+9) " " (ii) (7+5b)(49-35b+25b^(2)) (iii) (5a+(1)/(2)) (25a^(2)-(5a)/(2)+(1)/(4)) " " (iv) (a+b-2)[a^(2)+b^(2)+4(a+b)+4] .