If you want to clear any competitive exam, your step should be to clear the concepts and then, practice, practice, and practice. The first stage itself takes much time and you indeed should spend that time until you get it. Like one of the important topics of the Quantitative Aptitude, you must learn Basic Algebra formulas for Competitive exams.

#### Basic 10 Algebraic Equations for exams

For this reason, I will share the basic Algebraic equations that remain true for all values of the variable. The list of algebraic equations are given below: –

(1) (a+b)

^{2}= a^{2}+ b^{2}+ 2ab = (a+b)^{2 }+ 4ab(2) (a-b)

^{2}= a^{2}+ b^{2}– 2ab = (a+b)^{2 }– 4ab(3) a

^{2}– b^{2 }= (a+b) (a-b)(4) a

^{3}+ b^{3 }= (a+b) (a^{2}-ab+b^{2}) = (a + b)^{3}+ 3ab(a+b)(5) a

^{3}– b^{3 }= (a-b) (a^{2}+ab+b^{2}) = (a – b)^{3}+ 3ab(a-b)(6) (a+b)

^{3}= a^{3}+ b^{3}+ 3ab(a+b)(7) (a-b)

^{3}= a^{3}– b^{3}+ 3ab(a-b)(8) a

^{3 }+ b^{3 }+ c^{3}– 3abc = (a+b+c) (a^{2}+b^{2}+c^{2}-ab-bc-ca) = 1/2 (a+b+c){(a-b)^{2 }+ (b-c)^{2}+ (c-a)^{2}}(9) (a+b+c)

^{2}= a^{2}+ b^{2}+ c^{2}+ 2ab + 2bc + 2ca(10) (a+b+c)

^{3}= a^{3}+ b^{3}+ c^{3}+ 3(a+b)(b+c)(c+a)These are the ten and must learn basic algebraic formulas for competitive exams based on which plenty of questions can be formed. They are the Universal equations of Algebraic and many questions can be solved using these only formulas. The questions based on these equations are asked in the exams like SSC CGL, SSC CHSL, SSC MTS, Railways, IBPS PO, IBPS Clerk, etc.

#### Other Basic Formulas

Note: If a + b + c = 0, then a

^{3 }+ b^{3 }+ c^{3}– 3abc = 0. Hence, a^{3 }+ b^{3 }+ c^{3}= 3abcNote: a

^{4}+ b^{4}+ a^{2}b^{2}= (a^{2}+ ab + b^{2}) (a^{2}– ab + b^{2})
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