信念和斗志宜聚，懈怠和悲觀宜散；我們的斗志因信念而燃起，不懈怠、不悲觀，落實(shí)每一個(gè)知識(shí)點(diǎn)。整理了“GRE數(shù)學(xué)重要知識(shí)點(diǎn)：Distributive Law”，歡迎閱讀參考！更多相關(guān)訊息請(qǐng)關(guān)注！
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.
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.