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

Using properties of determinant : Prove that |(a^(2), 2ab, b^(2)),(b^(2),a^(2),2ab),(2ab,b^(2),a^(2))| = (a^(3) + b^(3))^(2)

Solve: (a - b )x + (a + b)y = a^(2) - 2ab - b^(2) and (a + b) (x + y) = a^(2) + b^(2)

Solve the following pair of linear equations : (a-b)x+(a+b)y=a^(2)-2ab-b^(2)and(a+b)(x+y)=a^(3)+b^(2)

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

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

Factorise the using the identity a ^(2) + 2 ab + b ^(2) = (a + b) ^(2) a ^(2) x ^(2) + 2 ax +1

Factorise the using the identity a ^(2) - 2 ab + b ^(2) = (a -b) ^(2). p ^(2) - 2p +1

Factorise the using the identity a ^(2) + 2 ab + b ^(2) = (a + b) ^(2) a ^(2) x ^(2) + 6ax + 9