Algebra Examples

$2 x^{2} - y^{1} + 3 x^{0}$ for $x = 3$ and $y = 5$

Step 1

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

$2 {(3)}^{2} - y^{1} + 3 {(3)}^{0}$

Step 2

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

$2 {(3)}^{2} - {(5)}^{1} + 3 {(3)}^{0}$

Step 3

Simplify each term.

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Step 3.1

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

$2 \cdot 9 - {(5)}^{1} + 3 {(3)}^{0}$

Step 3.2

Multiply $2$ by $9$ .

$18 - {(5)}^{1} + 3 {(3)}^{0}$

Step 3.3

Evaluate the exponent.

$18 - 1 \cdot 5 + 3 {(3)}^{0}$

Step 3.4

Multiply $- 1$ by $5$ .

$18 - 5 + 3 {(3)}^{0}$

Step 3.5

Multiply $3$ by ${(3)}^{0}$ by adding the exponents.

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Step 3.5.1

Multiply $3$ by ${(3)}^{0}$ .

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Step 3.5.1.1

Raise $3$ to the power of $1$ .

$18 - 5 + 3^{1} {(3)}^{0}$

Step 3.5.1.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$18 - 5 + 3^{1 + 0}$

Step 3.5.2

Add $1$ and $0$ .

$18 - 5 + 3^{1}$

Step 3.6

Simplify $3^{1}$ .

$18 - 5 + 3$

Step 4

Simplify by adding and subtracting.

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Step 4.1

Subtract $5$ from $18$ .

$13 + 3$

Step 4.2

Add $13$ and $3$ .

$16$