Algebra Examples

$(x^{2} - 10 x + 24) - (x - 6)$

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.

$x^{2} - 10 x + 24 - x - - 6$

Step 2.2

Multiply $- 1$ by $- 6$ .

$x^{2} - 10 x + 24 - x + 6$

Step 3

Simplify by adding terms.

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Step 3.1

Subtract $x$ from $- 10 x$ .

$x^{2} - 11 x + 24 + 6$

Step 3.2

Add $24$ and $6$ .

$x^{2} - 11 x + 30$