Algebra Examples

$(x^{2} + 9 x + 18) - (x + 6)$

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.

$x^{2} + 9 x + 18 - x - 1 \cdot 6$

Step 2.2

Multiply $- 1$ by $6$ .

$x^{2} + 9 x + 18 - x - 6$

Step 3

Simplify by adding terms.

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Step 3.1

Subtract $x$ from $9 x$ .

$x^{2} + 8 x + 18 - 6$

Step 3.2

Subtract $6$ from $18$ .

$x^{2} + 8 x + 12$