Question

Which Algebraic statements hold true for all the values of their variables. Please tell me​ fast

Answer 1

Answer:

The following are the standard identities:

(a + b)2= a2+ 2ab + b2--(I)

(a – b)2= a2– 2ab + b2--(II)

(a + b) (a – b) = a2– b2--(III)

Another useful identity is (x + a) (x + b) = x2+ (a + b) x + ab --(IV)

The above four identities are useful in carrying out squares and products of algebraic expressions.

• We shall find that for any value of a, LHS = RHS. Such an equality, true for every value of the variable in it, is called an identity. Thus, (a + 1) (a + 2) = a2 + 3a + 2 is an identity.