Question

(а+1)^2+3(а-1^2-5(а-1)(а+1)=

Answer 1

A^2+2a+1+3(a-1)-5(a^2-1)
a^2+2a+1+3a-3-5a^2+5
-4a^2+5a+3

Answer 2

To solve this equation, we need to first simplify the expression on the left-hand side by expanding and combining like terms:

(а+1)^2 + 3(а-1)^2 - 5(а-1)(а+1)

= (а+1)(а+1) + 3(а-1)(а-1) - 5(а^2 - 1)

= (а^2 + 2а + 1) + (3а^2 - 6а + 3) - (5а^2 - 5)

= а^2 + 2а + 1 + 3а^2 - 6а + 3 - 5а^2 + 5

= -а^2 - 2а + 9

So, (а+1)^2 + 3(а-1)^2 - 5(а-1)(а+1) simplifies to -а^2 - 2а + 9.