[" Q."4" Verify the Identity - "],[qquad (a+b)^(3)=a^(3)+3a^(2)+3ab^(2)+b^(3)]

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

Find : Verify the identity : (a - b)^(2) = a^(2) - 2ab + b^(2) , where a = 3m and b = 2m

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

Now take a = 1 and b = 3, verify the identity. (a+b)^(2)=a^(2)+2ab+b^(2) What do you observe? Is LHS = RHS ?

Verify the identity: (a-b)^2 = a^2 -2ab + b^2 , where a= 3m and b = 5n.

Important Identity -(a^(3)+b^(3)+c^(3)-3abc)=(a+b+c)(a^(2)+b^(2)+c^(2)-ab-bc-ac)

If a= 2, b= 3 and c= 4, find the value of : (ab + bc + ca- a^(2) -b^(2)-c^(2))/(3abc-a^(3)-b^(3)-c^(3)) , using suitable identity

Verify the identity (a+b)^2 = a^2 + 2ab + b^2 geometrically by taking a= 3 and b= 2.