বীজগণিতের বর্গের সূত্রসমূহ :
(a+b)²= a²+2ab+b²
(a+b)²= (a-b)²+4ab
(a-b)²= a²-2ab+b²
(a-b)²= (a+b)²-4ab
a² + b²= (a+b)²-2ab.
a² + b²= (a-b)²+2ab.
a²-b²= (a +b)(a -b)
2(a²+b²)= (a+b)²+(a-b)²
4ab = (a+b)²-(a-b)²
ab = {(a+b)/2}²-{(a-b)/2}²
(a+b+c)² = a²+b²+c²+2(ab+bc+ca)
বীজগণিতের ঘন এর সূত্রসমূহ
(a+b)³ = a³+3a²b+3ab²+b³
(a+b)³ = a³+b³+3ab(a+b)
(a-b)³= a³-3a²b+3ab²-b³
(a-b)³= a³-b³-3ab(a-b)
a³+b³= (a+b) (a²-ab+b²)
a³+b³= (a+b)³-3ab(a+b)
a³-b³ = (a-b) (a²+ab+b²)
a³-b³ = (a-b)³+3ab(a-b)
(a² + b² + c²) = (a + b + c)² – 2(ab + bc + ca)
2 (ab + bc + ca) = (a + b + c)² – (a² + b² + c²)
(a + b + c)³ = a³ + b³ + c³ + 3 (a + b) (b + c) (c + a)
a³ + b³ + c³ – 3abc =(a+b+c)(a² + b²+ c²–ab–bc– ca)