factorise this expression
x2+2x+1
can you please explain to me how to do this one
To be able to factorize, you must be able to do multiplication of polynomials, otherwise it would be difficult to verify your answers. Also, the experience in polynomial multiplications will help you get an insight to factorization.
Having said that, the question presented is a standard case of
(a+b)² = a² + 2ab + b²
When a=x, b=1, the expression becomes:
(x+1)² = x² + 2x + 1
Recognizing standard forms is one of the necessary skills for factorizing algebraic expressions.