Algebra Examples

$(2 x^{2} - 6 x + 1) - 2 (x^{2} - 5 x)$

Step 1

Simplify and reorder the polynomial.

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

$2 x^{2} - 6 x + 1 - 2 x^{2} - 2 (- 5 x)$

Step 1.1.2

Multiply $- 5$ by $- 2$ .

$2 x^{2} - 6 x + 1 - 2 x^{2} + 10 x$

Step 1.2

Simplify by adding terms.

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Step 1.2.1

Combine the opposite terms in $2 x^{2} - 6 x + 1 - 2 x^{2} + 10 x$ .

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Step 1.2.1.1

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

$- 6 x + 1 + 0 + 10 x$

Step 1.2.1.2

Add $- 6 x + 1$ and $0$ .

$- 6 x + 1 + 10 x$

Step 1.2.2

Add $- 6 x$ and $10 x$ .

$4 x + 1$

Step 2

Identify the exponents on the variables in each term, and add them together to find the degree of each term.

$4 x \to 1$

$1 \to 0$

Step 3

The largest exponent is the degree of the polynomial.

$1$