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simplify the following expression
x+4(y+8x)
Write the property that justifies each step.

  • math -

    i interpreted this into two ways. first,

    x+4(y+8x)
    distribute 4 to each term inside the parenthesis (you multiply 4 to each):
    x + 4y + 32x
    then add similar terms (terms containing same variable):
    33x + 4y

    second interpretation,
    (x+4)(y+8x)
    use FOIL method:
    F-first terms in both parenthesis will be multiplied, (x and y)
    O-outer terms in both parenthesis will be multiplied, (x and 8x)
    I-inner terms in both parenthesis will be multiplied, (4 and y)
    L-last terms in both parenthesis will be multiplied, (4 and 8x),, then add them all.
    thus:
    xy + 8x^2 + 4y + 32x

    so there,, :)

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