Algebra Examples

$- 2 x^{2} - 4 x y + 2 y^{2}$ ; $x = - 3$ , $y = 5$

Step 1

Replace the variable $x$ with $- 3$ in the expression.

$- 2 {(- 3)}^{2} - 4 \cdot - 3 \cdot y + 2 y^{2}$

Step 2

Replace the variable $y$ with $5$ in the expression.

$- 2 {(- 3)}^{2} - 4 \cdot - 3 \cdot 5 + 2 {(5)}^{2}$

Step 3

Simplify each term.

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Step 3.1

Raise $- 3$ to the power of $2$ .

$- 2 \cdot 9 - 4 \cdot - 3 \cdot 5 + 2 {(5)}^{2}$

Step 3.2

Multiply $- 2$ by $9$ .

$- 18 - 4 \cdot - 3 \cdot 5 + 2 {(5)}^{2}$

Step 3.3

Multiply $- 4 \cdot - 3 \cdot 5$ .

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Step 3.3.1

Multiply $- 4$ by $- 3$ .

$- 18 + 12 \cdot 5 + 2 {(5)}^{2}$

Step 3.3.2

Multiply $12$ by $5$ .

$- 18 + 60 + 2 {(5)}^{2}$

Step 3.4

Raise $5$ to the power of $2$ .

$- 18 + 60 + 2 \cdot 25$

Step 3.5

Multiply $2$ by $25$ .

$- 18 + 60 + 50$

Step 4

Simplify by adding numbers.

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Step 4.1

Add $- 18$ and $60$ .

$42 + 50$

Step 4.2

Add $42$ and $50$ .

$92$