(ax+y)^2
normally i would answer it as :
(a^2)(x^2)+(y^2)
but with special products it would be:
(a^2)(x^2 ) + ( 2axy ) + ( y^2 )
does that mean
(a^2)(x^2)+(y^2)
is wrong?
What do you mean by special product?
Yes. For any $\displaystyle u$ and $\displaystyle v$, $\displaystyle (u + v)^2 = u^2 + 2uv + v^2$. Here $\displaystyle u = ax$ and $\displaystyle v = y$; therefore, $\displaystyle (ax + y)^2 = a^2x^2+2axy+y^2$. You can check this by multiplying $\displaystyle (ax+y)(ax+y)$ through explicitly, and also by substituting various numbers for a, x and y (e.g., a = x = y = 1).does that mean
a2x2+y2
is wrong?