Fill `(a-b)^2/(a^2-b^2)=.........`

Fill in the blanks. (1) -2a^3b is a........ (2) (a^2-2b^2) is a ....... (3) (a+2b-3c) is a .......... (4) In -5ab , the coefficient of a is ...... (5) In x^2+2x-5 ,the........term is -5

(2a+3b)(a-b)=2a^(2)-3b^(2)

(a^(2)b-b^(2)a)^(2)

Simplify ((a^(2)+b^(2))/(a^(2)-b^(2))-(a^(2)-b^(2))/(a^(2)+b^(2)))/((a+b)/(a-b)-(a-b)/(a+b))

Consider two matrices A=[[a,b],[b,a]] and B=[[a,-b],[-b,a]] then the value of sum_(n=1)^10 |(AB)^n| is (i) 10(a^2-b^2) (ii)(((a^2-b^2)^22)-((a^2-b^2)^2))/((a^2-b^2)^2-1) (iii)(((a^2-b^2)^11)-((a^2-b^2)^2))/((a^2-b^2)-1) (iv) 55(a^2-b^2)

If tan theta=(a)/(b), then (a sin theta+b cos theta)/(a sin theta-b cos theta) is equal to (a^(2)+b^(2))/(a^(2)-b^(2))(b)(a^(2)-b^(2))/(a^(2)+b^(2))(c)(a+b)/(a-b)(d)(a-b)/(a+b)

(a +b) (a-b) = a ^(2) -b ^(2)

If (a+b):(a-b)=1:5 then (a^2-b^2):(a^2+b^2)=

If : sin theta = (a^(2)-b^(2))/(a^(2)+b^(2)), "then" : cot theta= A) (4a^(2)b^(2))/(a^(2) -b^(2)) B) (a^(2) + b^(2))/(a^(2) - b^(2)) C) (4a^(2)b^(2))/(a^(2) + b^(2)) D)none of these.