|Factorise x² + 2x + 1 and verify the answer
|= (x + 1)(x + 1) factors
||Factorise means to write the expression using factors. Each factor is put in a bracket. (x + 1) and (x + 1) are chosen because +1 and +1 add to +2 (number in front of the x term, known as the x coefficient) and they multiply to give +1 (the constant).
|= x(x + 1) + 1(x + 1)
||We can check the factors are correct by multiplying out the brackets. Split the terms in the first bracket so that each multiplies by the second bracket.
|= x² + 1x + 1x + 1
||Remove the brackets.
|= x² + 2x + 1
||Add the x terms. This is the original expression.