(a+b)2=a2+2ab+b2,(a-b)2=a2-2ab+b2,(a+b)(a-b)=a2-b2,(x+a)(x+b)=x2+(a+b)x+ab,(ax+b)(cx+d)=acx2+(ad+bc)x+bd(a+b)(a2-ab+b2)=a3+b3
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