Algebra Formula class 10

Algebra Formula for all class

(a+b)²=a²+b²+2ab

(a-b)²=a²+b²-2ab

a²-b²=(a-b)(a+b)

a²+b²=(a+b)²-2ab=(a-b)²+2ab

a³+b³=(a+b)(a²-ab+b²)=(a+b)³-3ab(a+b)

a³-b³=(a-b)(a²+ab+b²)=(a-b)³+3ab(a-b)

(a+b)²+(a-b)²=2(a²+b²)

(a+b)²-(a-b)²=4ab

(a-b)²=(a+b)²-4ab

(a+b)²=(a-b)²+4ab

a⁴+b⁴=(a+b)(a-b){(a+b)²-2ab}

(a+b+c)²=a²+b²+c²+2ab+2bc+2ca

(a+b-c)²=a²+b²+c²+2ab-2bc-2ca

(a-b-c)²=a²+b²+c²-2ab+2bc-2ca

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

Thanks

Rajesh