Formule de calcul prescurtat

(a+b )2=a2+2ab+b2=a∗a+2∗a∗b+b∗b.

(a−b )2=a2−2ab+b2=a∗a−2∗a∗b+b∗b.

a2−b2= (a−b ) (a+b )=(a−b )∗(a+b).

(a+b+c )2=a2+b2+c2+2ab+2ac+2bc=a∗a+b∗b+c∗c+2∗a∗b+2∗a∗c+2∗b∗c.

(a−b−c )2=a2+b2+c2−2ab−2ac−2bc=a∗a+b∗b+c∗c−2∗a∗b−2∗a∗c−2∗b∗c.

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

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

a3+b3+c3=(a+b+c )3−3 (a+b ) (b+c ) (a+c )=(a+b+c )∗(a+b+c )∗(a+b+c )−3∗(a+b )∗(b+c )∗(a+c )

.

a3+b3=(a+b ) ¿.

a3−b3=(a+b ) (a2+ab+b2 )= (a+b )∗(a∗a+a∗b+b∗b).

a4+b4=(a2+b2−√2ab ) (a2+b2+√2ab )=(a∗a+b∗b−√2∗a∗b )∗(a∗a+b∗b+√2∗a∗b).

a4−b4=(a−b ) (a+b ) (a2+b2 )=(a−b )∗(a+b )∗(a∗a+b∗b).

4 ab=(a+b )2−(a−b )2=(a+b )∗(a+b )−(a−b )∗(a−b).

NUME NR. ABSENȚE MOTIVATEAndreescu Marilena 0 0Andrei Loredana 2 2Baros Diana 7 5Blidaru Alexandru 15 14Borțosu Cristina 2 2Constantin Cătălina 5 4Crăciun Olimpia 7 5Duman Nicoleta 5 5Filipescu Alina 2 2Gălbeoru Georgiana 2 1Groșaru Roxana 2 1Ilie Mirela 2 2Ion Mihnea 8 6Lixandru Albert 5 4Lungu Alexandra 8 5Marinescu Mihai 5 4Matei Diana 3 2Mucenic Bianca 4 3Neacșu Alexandra 10 10Pîrvu Ioana 7 6Popescu Andreea 2 2Spiridon Ioana 2 2Stoicescu Cristian 20 15Tatu Diana 2 1Tănase Iuliana 5 4Trandafir Mădălina 1 1Țimonea Victoria 2 0Vaporu Livia 2 1Zăvoianu Alexandra 3 2TOTAL 140 111111