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اینجانب حمیدرضا ظفری.کلاس 803.مدرسه علامه حلی شهرستان نهاوند
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جمعه 14 آذر 1393 :: نویسنده : حمیدرضا ظفری
شش اتحاد کارآمد

مربع دو جمله ای

(a+b)^2=a^2+b^2+2ab\,\!

(a-b)^2=a^2+b^2-2ab \,\!

 

مربع سه جمله‌ای

(a+b+c)^2=a^2+b^2+c^2+2ab+2ac+2bc \,\!

مکعب مجموع دو جمله

(a+b)^3=a^3+3a^2b+3ab^2+b^3 \,\!

مزدوج 

(a-b)(a+b)=a^2-b^2 \,\!

اتحاد جمله مشترک

(x+a)(x+b)=x^2+(a+b)x+ab \,\!

 

مجموع و تفاضل مکعبات دوجمله

(a+b)(a^2-ab+b^2)=a^3+b^3 \,\!
(a-b)(a^2+ab+b^2)=a^3-b^3 \,\!




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