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Basic Maths formulas: JEXPO 2019

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There are some essential Basic Mathematics Formulas that need to be in the knowledge before starting mathematics study for the JEXPO entrance examination

Square Formulas
a+b2=a2+2ab+b2a+b2=a−b2+4ab
a−b2=a+b2−4aba−b2=a2−2ab+b2
a2+b2=a−b2+2aba2+b2=a+b2−2ab
a2−b2=(a+b)(a−b)
ab=a+b22−a−b22
4ab=(a+b)2−(a−b)2
2a2+b2=(a+b)2+(a−b)2
a+b+c2=a2+b2+c2+2ab+2bc+2ca
Qube formulas
(a+b)3=a3+3a2b+3ab2+b3a+b3=a3+b3+3aba+b
(a−b)3=a3−b3−3ab(a−b)a−b3=a3−3a2b+3ab2−b3
a3+b3=a+b3−3ab(a+b)a3+b3=(a+b)(a2−ab+b2)
a3−b3=a−b3+3ab(a−b)a3−b3=(a−b)(a2+ab+b2)
a+b+c3=a3+b3+c3+3a+bb+cc+a
a3+b3+c3−3abc=(a+b+c)(a2+b2+c2−ab−bc−ca)
a3+b3+c3−3abc=(a+b+c)12a−b2+b−c2+c−a2