Question

Se stie ca a+b=10


b) determinati valoarea expresiei a^2 + 2ab +b^2 -25

c) determinati valoarea expresiei (a-b)^2 + 4ab + 3(a+b)

Answer 1

Salut:)
a+b=10
b)a²+2ab+b²-25=(a+b)²-25=10²-25=100-25=75
c)(a-b)²+4ab+3(a+b)=a²-2ab+b²+4ab+3*10=a²+b²+2ab+30=
(a+b)²+30=10²+30=130

Answer 2

b) $a^{2}+2ab+b^{2}-25= (a+b)^{2}-25=10^{2}-25=100-25=75$

c) (a-b)^2 + 4ab + 3(a+b) $(a-b)^{2}+ 4ab + 3(a+b) =(a^{2}-2ab+b^{2}) +4ab+3(a+b)= \\ \\a^{2}-2ab+b^{2} +4ab+3(a+b)= \\ \\ (a^{2} +2ab+b^{2}) +3(a+b)= \\ \\ (a+b)^{2} +3(a+b)= \\ \\ 10^{2} +3*10=100+30=130 \\ \\ (a-b)^{2}+ 4ab + 3(a+b) =130$