Write in Standard Form x^4+4x^by+ax^2y^2+4xy^3+y^4

$x^{4} + 4 x^{b} y + a x^{2} y^{2} + 4 x y^{3} + y^{4}$

Step 1

To write a polynomial in standard form, simplify and then arrange the terms in descending order.

$a x^{2} + b x + c$

Step 2

Reorder factors in $x^{4} + 4 x^{b} y + a x^{2} y^{2} + 4 x y^{3} + y^{4}$ .

$x^{4} + 4 y x^{b} + a x^{2} y^{2} + 4 x y^{3} + y^{4}$

Step 3

Move $y$ .

$x^{4} + 4 x^{b} y + a x^{2} y^{2} + 4 x y^{3} + y^{4}$

Step 4

Move $4 x^{b} y$ .

$x^{4} + a x^{2} y^{2} + 4 x y^{3} + y^{4} + 4 x^{b} y$

Step 5

Reorder $x^{4}$ and $a x^{2} y^{2}$ .

$a x^{2} y^{2} + x^{4} + 4 x y^{3} + y^{4} + 4 x^{b} y$