Factorise the sum of y cube + y square minus y minus one

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Factorise the sum of y cube + y square minus y minus one

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Genesis 4 weeks 2021-10-01T19:58:15+00:00 1 Answer 0 views 0

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    2021-10-01T19:59:27+00:00

    Answer:

    2y³ + y² – 2y – 1

    = 2y³ + 2y² -y² – y – y -1

    = 2y²(y + 1) -y(y + 1) – 1(y + 1)

    = (y +1 )(2y² – y – 1)

    = (y + 1){2y² – 2y + y – 1}

    = (y + 1){2y(y -1 ) + 1(y – 1)}

    =(y +1 )(2y +1 )(y -1)

    hence, factors of 2y³ + y² -2y -1 are (y +1 ) , (2y + 1) and (y – 1)

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