Write in Standard Form (5p^3-p)-(7p^2+4p-3)

$(5 p^{3} - p) - (7 p^{2} + 4 p - 3)$

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

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

Simplify each term.

Apply the distributive property.

$5 p^{3} - p - (7 p^{2}) - (4 p) - - 3$

Simplify.

Multiply $7$ by $- 1$ .

$5 p^{3} - p - 7 p^{2} - (4 p) - - 3$

Multiply $4$ by $- 1$ .

$5 p^{3} - p - 7 p^{2} - 4 p - - 3$

Multiply $- 1$ by $- 3$ .

$5 p^{3} - p - 7 p^{2} - 4 p + 3$

Subtract $4 p$ from $- p$ .

$5 p^{3} - 7 p^{2} - 5 p + 3$