Write in Standard Form 8x^2y^2-(3x^3y)/2+4x^4-7xy^3

$8 x^{2} y^{2} - \frac{3 x^{3} y}{2} + 4 x^{4} - 7 x y^{3}$

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

Move $4 x^{4}$ .

$8 x^{2} y^{2} - \frac{3 x^{3} y}{2} - 7 x y^{3} + 4 x^{4}$

Step 3

Move $- \frac{3 x^{3} y}{2}$ .

$8 x^{2} y^{2} - 7 x y^{3} - \frac{3 x^{3} y}{2} + 4 x^{4}$

Step 4

Reorder $8 x^{2} y^{2}$ and $- 7 x y^{3}$ .

$- 7 x y^{3} + 8 x^{2} y^{2} - \frac{3 x^{3} y}{2} + 4 x^{4}$

Step 5

Reorder terms.

$- 7 x y^{3} + 8 x^{2} y^{2} - (\frac{3}{2} x^{3} y) + 4 x^{4}$

Step 6

Remove parentheses.

$- 7 x y^{3} + 8 x^{2} y^{2} - (\frac{3}{2} x^{3}) y + 4 x^{4}$

Step 7

Remove parentheses.

$- 7 x y^{3} + 8 x^{2} y^{2} - \frac{3}{2} x^{3} y + 4 x^{4}$