Write and simplify the term involving `a^2b^5` in `(a-2b)^4 (a+b)^3`.

Write and simplify the term involving x^5 in the expansion of (x-1/x)^11 .

Simplify the following: sqrt(a^(-2)b^3)

Write and simplify the term independent x in the expansion of (x^2-2/x^3)^5 . And find its value.

Multiply : (a^2 + 2b^2) and (5a – 3b)

(5x + 2y) ( 5x - 2y) can be simplified using the identity. a. (x +b) ^(2) = a ^(2) + 2 ab + b ^(2) b. (x -b) ^(2) = a ^(2) - 2 ab + b ^(2) c. (a +b)(a -b) = a ^(2) - b ^(2) d. none

the value of the determinant |{:((a_(1)-b_(1))^(2),,(a_(1)-b_(2))^(2),,(a_(1)-b_(3))^(2),,(a_(1)-b_(4))^(2)),((a_(2)-b_(1))^(2),,(a_(2)-b_(2))^(2) ,,(a_(2)-b_(3))^(2),,(a_(3)-b_(4))^(2)),((a_(3)-b_(1))^(2),,(a_(3)-b_(2))^(2),,(a_(3)-b_(3))^(2),,(a_(3)-b_(4))^(2)),((a_(4)-b_(1))^(2),,(a_(4)-b_(2))^(2),,(a_(4)-b_(3))^(2),,(a_(4)-b_(4))^(2)):}| is

The middle term of the expression (2a - 3b) ^(2) is

Simplify combining like terms: 21b – 32 + 7b – 20b

If a^(2)+b^(2)+c^(2)=1 where, a,b, cin R , then the maximum value of (4a-3b)^(2) + (5b-4c)^(2)+(3c-5a)^(2) is