Algebra Examples

$(x + y + 2) (y + 1)$

Step 1

Expand $(x + y + 2) (y + 1)$ by multiplying each term in the first expression by each term in the second expression.

$x y + x \cdot 1 + y \cdot y + y \cdot 1 + 2 y + 2 \cdot 1$

Step 2

Simplify terms.

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Step 2.1

Simplify each term.

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Step 2.1.1

Multiply $x$ by $1$ .

$x y + x + y \cdot y + y \cdot 1 + 2 y + 2 \cdot 1$

Step 2.1.2

Multiply $y$ by $y$ .

$x y + x + y^{2} + y \cdot 1 + 2 y + 2 \cdot 1$

Step 2.1.3

Multiply $y$ by $1$ .

$x y + x + y^{2} + y + 2 y + 2 \cdot 1$

Step 2.1.4

Multiply $2$ by $1$ .

$x y + x + y^{2} + y + 2 y + 2$

Step 2.2

Simplify by adding terms.

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Step 2.2.1

Add $y$ and $2 y$ .

$x y + x + y^{2} + 3 y + 2$

Step 2.2.2

Move $x$ .

$x y + y^{2} + x + 3 y + 2$