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GRE數(shù)學(xué)考點(diǎn):Distributive Law

時(shí)間:2019-04-03 10:55:00   來(lái)源:無(wú)憂考網(wǎng)     [字體: ]
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  Distributive Law

  Like real number, when multiplying a sum or difference of terms, the
distributive property of multiplication allows us to distribute the multiplying
term among the terms being added or subtracted.

  Example:

  3*(2x+y)=3*2x+3*y,

  3a*(2x+y)=3a*2x+3a*y,

  3x*(2x+y)=3x*2x+3x*y.

  (3x+4)*(2x+y)=(3x+4)*2x+(3x+4)*y=3x*2x+4*2x+3x*y+4*y.

  Remember:

  Do not forget to multiply all the terms inside the parenthesis.

  For division, the sum and difference in the numerator can be
distributed:(x+y)/(2x+y)=x/(2x+y)+y/(2x+y).

  For division, the sum and difference in the denominator cannot be
distributed :(x+y)/(2x+y)≠(x+y)/2x+(x+y)/y.