PUTERI SI RADICALI - FORMULE

I.IDETITÃTI FUNDAMENTALE

(a+b)²=a²+2ab+b²

(a-b)²=a²-2ab+b²

(a-b)(a+b)=a²-b²

(a+b)³=a³+3a²b+3ab²+b³

(a-b)³=a³-3a²b+3ab²-b³

a³+b³=(a+b)(a²-ab+b²)

a³-b³=(a-b)(a²+ab+b²)

(a+b+c)²=a²+b²+c²+2(ab+ac+bc)

a³+b³+c³=(a+b+c)³-3(a+b)(a+c)(b+c)

(a+b+c)³=a³+b³+c³ -3 (a+b)(a+c)(b+c)

a³+b³+c³=(a+b+c) a²+b²+c²-(ab+ac+bc)

II. PUTERII. OPERATI CU PUTERI

0ⁿ=0

a⁰=1

1ⁿ=1

aⁿ a^m=a^n+m

aⁿ:a^m=a^n-m

(aⁿ)^m=a^{n m}

aⁿ bⁿ=(a b)ⁿ

(aⁿ b^m c^p)^s=a^ns b^ms c^ps

(aⁿ b^m c^p): (a^s b^r c^t)= a^n-s b^m-r c^p-t

III. RADICALI. OPERATI CU RADICALI

pentru A¹

pentru A>0