Expansion Formula | Mathematics

Expansion Formula

Mathematics > Expansion > Formula

(i) (a + b)2= a2 + 2ab + b

(ii) (a + b)2 = (a – b)2 + 4ab

(iii) (a – b)2= a2 – 2ab + b

(iv) (a – b)2= (a + b)2 – 4ab.

(v) a2 – b2= (a+b)(a-b).

(vi) (a + b + c)2= a2 + b2 + c2 + 2(ab + bc + ca)

(vii) (a + b)3 = a3 + b3 + 3ab(a + b)

(viii) (a + b)3  = a3 + 3a2b + 3ab2 + b3.

(ix) (a – b)3 = a3 – b3 – 3ab(a – b)

 (x) (a – b)3 = a3 – 3a2b + 3ab2 – b3.

(xi) a3 + b3 = (a + b)( a2 -ab + b2).

(xii) a3 – b3 = (a – b)( a2 + ab + b2).

(xiii) a3+ b3 + c3 – 3abc = (a + b + c)(a2 + b2 + c2 – ab – bc – ca).

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