বীজগণিতের সুত্র সমূহ

বীজগণিতের সুত্র সমূহ

–> (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)

–> (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)

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