Algebra Examples

$2 x^{2} - y^{1} + 3 x^{0}$ for $x = 4$ and $y = 7$

Step 1

Replace the variable $x$ with $4$ in the expression.

$2 {(4)}^{2} - y^{1} + 3 {(4)}^{0}$

Step 2

Replace the variable $y$ with $7$ in the expression.

$2 {(4)}^{2} - {(7)}^{1} + 3 {(4)}^{0}$

Step 3

Simplify each term.

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Step 3.1

Raise $4$ to the power of $2$ .

$2 \cdot 16 - {(7)}^{1} + 3 {(4)}^{0}$

Step 3.2

Multiply $2$ by $16$ .

$32 - {(7)}^{1} + 3 {(4)}^{0}$

Step 3.3

Evaluate the exponent.

$32 - 1 \cdot 7 + 3 {(4)}^{0}$

Step 3.4

Multiply $- 1$ by $7$ .

$32 - 7 + 3 {(4)}^{0}$

Step 3.5

Anything raised to $0$ is $1$ .

$32 - 7 + 3 \cdot 1$

Step 3.6

Multiply $3$ by $1$ .

$32 - 7 + 3$

Step 4

Simplify by adding and subtracting.

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Step 4.1

Subtract $7$ from $32$ .

$25 + 3$

Step 4.2

Add $25$ and $3$ .

$28$