Question

simplify the following
(y²+2y+2)(y²-2y+2)

Answer 1

$\textbf{\huge{ANSWER:}}$

Let:

$y^{2} = a$

$2y + 2 = b$

Therefore, we get;

$(y^{2} + 2y + 2) (y^{2} - 2y + 2)$

=》 (a + b) (a - b)

We know by identity that:

$(a + b) (a - b) = a^{2} - b^{2}$

Thus;

=》 $(y^{2})^{2} - (2y + 2)^{2}$

Now, we know by identity that;

$(a + b)^{2} = a^{2} + b^{2} + 2ab$

$(2y + 2) = 4y^{2} + 4 + 8y$

=》》$(y^{2})^{2} - (2y + 2)^{2}$

=》 $y^{4} - [4y^{2} + 4 + 8y]$

=》 $y^{4} - 4y^{2} - 4 - 8y$

That's your answer! :)

Answer 2

here is your ans hope this helped u