Algebra Examples

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

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

Simplify each term.

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Step 2.1

Apply the distributive property.

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

Step 2.2

Multiply $5$ by $- 1$ .

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

Step 2.3

Multiply $- 1$ by $4$ .

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

Step 3

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

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