" 2."a(a+b)^(3)-3a^(2)b(a+b)

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

Factorize : a(a+b)^3-3a^2b(a+b)

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

Verify the (a+b ) (a+b) (a +b) = a ^(3) + 3a ^(2) b + 3a^(2) b + 3a b ^(2) +b ^(3)

If a-b=3, a+b+x=2 , then the value of (a-b)[x^(3)+3(a+b)x^(2)+3x(a+b)^(2)+(a+b)^(3)] is

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

Suppose a,b are two non zero numbers. Let Delta=|(2,a+b,a^(2)+b^(2)),(a+b,a^(2)+b^(2),a^(3)+b^(3)),(a^(2)+b^(2),a^(3)+b^(3),a^(4)+b^(4))| then Delta is equal to

If a^(3)-3a^(2)+5a-17=0 and b^(3)-3b^(2)+5b+11=0 are such that a+b is a real number, then the value of a+b is