Fill `................=(a-b)(a^2+ab+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

Factorise the using the identity a ^(2) - 2 ab + b ^(2) = (a -b) ^(2). 4a ^(2) - 4 ab + b ^(2)

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

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

(a^(2)+2ab+b^(2))/(a+b)

Some Important Identities - (i) (a+b)^(2)=a62+2ab+b^(2)( ii) (a-b)^(2)=a^(2)-2ab+b^(2)

If (x+1)/(x-1)=(a)/(b) and (1-y)/(1+y)=(b)/(a), then the value of (x-y)/(1+xy) is (2ab)/(a^(2)-b^(2)) (b) (a^(2)-b^(2))/(2ab) (c) (a^(2)+b^(2))/(2ab) (d) (a^(2)-b^(2)backslash)/(ab)

If a^(2) +b^(2) = x, ab = y then the value of (a^(4) +b^(4))/(a^(2) -ab sqrt(2) +b^(2)) is

Simplify: (a+b)^^2(a-b)^^2(a^(^^)2-ab+b^(^^)2)(a^(^^)2+ab+b^(^^)2)(a^(^^)4+a^(^^)2b^(^^)2+b^(^^)4)(a^(^^)6+b^(^^)6)^(^^)2'