Question

Factorise the following, using the identity a2 – 2ab + b2 = (a – b)2

Answer 1

The factorisation of the given expressions is as follows;

• a) p²y²– 2py + 1 = (py -1)²
• b) a²y² -2aby +b² = (ay - b)²

Factorization using identities

The given identity is;

• a²– 2ab + b² = (a – b)²

From the given identity, we can conclude that;

In the expression (a);

• py represents a in the identity and 1 represents b in the identity.

In the expression (b);

• ay represents a in the identity and b represents b in the identity.

Hence, the factorised expressions are as represented above.

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