Question

Calculați valoarea expresiei :
A la puterea a doua +B la puterea a doua +2 (ab+a+b), stiind ca a+b =5

Answer 1

$(a+b)^{2}$+2(a+b)=25+10=35

Answer 2

$a^2+b^2+2(ab+a+b)=a^2+b^2+2ab+2a+2b= \\ =a^2+2ab+b^2+2(a+b)=(a+b)^2+2(a+b)= \\ =5^2+10=25+10=35$