Algebra Examples

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

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

Simplify each term.

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Step 2.1

Apply the distributive property.

$3 x^{2} - 5 x - x^{2} - (4 x) - 1 \cdot 3$

Step 2.2

Simplify.

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Step 2.2.1

Multiply $4$ by $- 1$ .

$3 x^{2} - 5 x - x^{2} - 4 x - 1 \cdot 3$

Step 2.2.2

Multiply $- 1$ by $3$ .

$3 x^{2} - 5 x - x^{2} - 4 x - 3$

Step 3

Simplify by adding terms.

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Step 3.1

Subtract $x^{2}$ from $3 x^{2}$ .

$2 x^{2} - 5 x - 4 x - 3$

Step 3.2

Subtract $4 x$ from $- 5 x$ .

$2 x^{2} - 9 x - 3$