algebra

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i need help with these kind of problems 3x(3x + 5)(10x+2)

  • algebra -

    Do the (3x+5)(10x+2) first and multiply by 3x later.
    Do you know FOIL (first, outer, inner, last) ?
    If so use it:
    3x [ 3x*10x + 3x*2 + 5*10x + 5*2]
    = 3x [ 30 x^2 + 56 x + 10 ]
    If you do not know FOIL, use distributive property directly:
    = 3x [ 3x(10x+2) + 5(10x+2) ]
    = 3x [ 30 x^2 + 6x + 50x + 10 ]
    = 3x [ 30 x^2 + 56 x + 10 ] which we already knew from FOIL
    now do the 3x times
    = 90 x^3 + 168 x^2 + 30 x

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