### Basic Maths formulas: JEXPO 2019

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

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

(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

**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