Question

Write one factor of ( x + 1 )^3 - ( x + 1 )

Answer 1

Hey buddy
I hope u understand my answer
$(x + 1) {}^{3} - (x + 1) \\ (x + 1)(x + 1)(x + 1) - (x + 1) \times 1 \\ we \: take \: the \: first \: (x + 1) \: and \: the \: last(x + 1) \: the \: one \: after \: minus \: as \: common \\ (x + 1)((x + 1)(x + 1) - 1) \\ we \: can \: write \: (x +1)(x + 1) \: as \: x {}^{2} + 1 + 2x \\ so \: (x + 1)(x {}^{2} + 1 + 2x - 1) \: \\ and \: the \: + 1 \: and \: - 1 \: get \: cancelled \\ (x + 1)(x {}^{2} + 2x) \\ = (x + 1)x(x + 2) \\ = x(x + 1)(x + 2)$
mark me as your brainliest