|Factorise x² + 10x + 16 and verify the answer
|= (x + 8)(x + 2) factors
||Factorise means to write the expression using factors. Each factor is put in a bracket. (x + 8) and (x + 2) are chosen because +8 and +2 add to +10 (number in front of the x term, known as the x coefficient) and they multiply to give +16 (the constant).
|= x(x + 2) + 8(x + 2)
||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 + 2x + 8x + 16
||Remove the brackets.
|= x² + 10x + 16
||Add the x terms. This is the original expression.