Algebra Examples

$9 x^{2} - 10 x + 1$ from $- 2 x^{2} + 4 x - 10$

Step 1

Write the problem as a mathematical expression.

$- 2 x^{2} + 4 x - 10 - (9 x^{2} - 10 x + 1)$

Step 2

Simplify each term.

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Step 2.1

Apply the distributive property.

$- 2 x^{2} + 4 x - 10 - (9 x^{2}) - (- 10 x) - 1 \cdot 1$

Step 2.2

Simplify.

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Step 2.2.1

Multiply $9$ by $- 1$ .

$- 2 x^{2} + 4 x - 10 - 9 x^{2} - (- 10 x) - 1 \cdot 1$

Step 2.2.2

Multiply $- 10$ by $- 1$ .

$- 2 x^{2} + 4 x - 10 - 9 x^{2} + 10 x - 1 \cdot 1$

Step 2.2.3

Multiply $- 1$ by $1$ .

$- 2 x^{2} + 4 x - 10 - 9 x^{2} + 10 x - 1$

Step 3

Simplify by adding terms.

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Step 3.1

Subtract $9 x^{2}$ from $- 2 x^{2}$ .

$- 11 x^{2} + 4 x - 10 + 10 x - 1$

Step 3.2

Add $4 x$ and $10 x$ .

$- 11 x^{2} + 14 x - 10 - 1$

Step 3.3

Subtract $1$ from $- 10$ .

$- 11 x^{2} + 14 x - 11$