mathematics

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Factorise copletely
1) 2ax+3ay-2bx-3by
2)5x^2-20
3)3x^2+4x-15 is the ans to this one = 7x^3-15

  • mathematics -

    You mean factor

    a(2x+3y)-b(2x+3y)
    = (a-b)(2x+3y)

    5(x^2-4)
    = 5 (x-2)(x+2)

    (3x-5)(x+3)

  • mathematics -

    first one is "grouping"
    2ax+3ay-2bx-3by
    = a(2x+3y) - b(2x+3y)
    = (2x+3y)(a-b)

    second, common factor then difference of squares

    5x^2-20
    = 5(x^2 - 4)
    = 5(x+2)(x-2)

    third, general quadratic
    3x^2+4x-15
    = (3x-5)(x+3)

    looks like you got your answer by
    adding 3x^2 + 4x to get 7x^3
    that is just unforgivable!

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