Question
Write the following squares of binomials as trinomials:
$\left(x^2-a y\right)^2$

Answer

We will use the identities $(a+b)^2=a^2+2 a b+b^2$and $(a-b)^2=a^2-2 a b+b^2$ to convert the squares of binomials as trinomials.
$\left(x^2-a y\right)^2$
$=\left(x^2\right)^2-2 x^2(\text { ay })+(a y)^2 $
$=x^4-2 x^2 a y+a^2 y^2$

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