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

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

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.

$7 p^{2} + 3 p - (5 p^{2}) - 1 \cdot 4$

Multiply $5$ by $- 1$ .

$7 p^{2} + 3 p - 5 p^{2} - 1 \cdot 4$

Multiply $- 1$ by $4$ .

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

Subtract $5 p^{2}$ from $7 p^{2}$ .

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