Find the value of `(a/b + b/a)*b`
where a=2 , b=-2

Find the value of (b-7)^2

If 49392=a^4b^2c^3, find the value of a ,\ b\ a n d\ c , where a ,\ b\ a n d\ c are different positive primes.

Find the values of a and b if A=B , where A=[[a+4,3b],[8,-6]],B=[[2a+2,b^2+2],[8,b^2-5b]]

Find the minimum value of a x+b y , where x y=c^2 and a ,\ b ,\ c are positive.

Find the values of a\ a n d\ b if A=B , where A=[a+4 3b8-6] , B=[2a+2b^2+2 8b^2-56]

Find the least possible value of a + b, where a, b are positive integers such that 11 divides a + 13b and 13 divides a + 11b.

If cosA=4/5 and cosB=12/13 , then find the values of cos(A+B) and sin(A-B) , where A , B ((3pi)/(2) to 2pi ) .

Find the value of 2a^(3)-b^(4)+3a^(2)b^(3) when a =3 , b=-1 .

If a+b=10\ \ a n d\ \ \ a b=16 , find the value of a^2-a b+b^2\ a n d\ \ a^2+a b+b^2

Find the value of the following expressions for a=3, b=2. (i) a+b (ii) 7a-4b (iii) a^2+2ab+b^2 (iv) a^3-b^2