Simplify x^2-2x-6 from -6x+5

$x^{2} - 2 x - 6$ from $- 6 x + 5$

Step 1

Write the problem as a mathematical expression.

$- 6 x + 5 - (x^{2} - 2 x - 6)$

Step 2

Simplify each term.

Apply the distributive property.

$- 6 x + 5 - x^{2} - (- 2 x) - - 6$

Simplify.

Multiply $- 2$ by $- 1$ .

$- 6 x + 5 - x^{2} + 2 x - - 6$

Multiply $- 1$ by $- 6$ .

$- 6 x + 5 - x^{2} + 2 x + 6$

$- 6 x + 5 - x^{2} + 2 x + 6$

$- 6 x + 5 - x^{2} + 2 x + 6$

Step 3

Simplify by adding terms.

Add $- 6 x$ and $2 x$ .

$- 4 x + 5 - x^{2} + 6$

Simplify the expression.

Add $5$ and $6$ .

$- 4 x - x^{2} + 11$

Reorder $- 4 x$ and $- x^{2}$ .

$- x^{2} - 4 x + 11$

$- x^{2} - 4 x + 11$

$- x^{2} - 4 x + 11$

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