(a+1)(a²+1)-(a+1)(a²-1)
(2x+y)²-(3y-x)²
(a+1)(a²+1)-(a+1)(a²-1)
(2x+y)²-(3y-x)²
$(a+1)(a²+1)-(a+1)(a²-1)$ =
= $a(^2+1)+(a^2+1)-a(a^2-1)-(a^2-1)$ =
= $a^3 +a +a^2 +1 -a^3 +a -a^2 +1$ =
= $2a+1$
===============================
$(2x+y)²-(3y-x)²$ =
= $4x^2+4xy+y^2-(9y^2-6xy+x^2) $ =
= $4x^2+4xy+y^2-9y^2+6xy-x^2$ =
= $3x^2 +10xy -8y^2$ =
= $(-x -4y)(-3x+2y)$
================================