Algebra Examples

$(x + 2) (y^{2} + 2 y - 12)$

Step 1

Expand $(x + 2) (y^{2} + 2 y - 12)$ by multiplying each term in the first expression by each term in the second expression.

$x y^{2} + x (2 y) + x \cdot - 12 + 2 y^{2} + 2 (2 y) + 2 \cdot - 12$

Step 2

Simplify terms.

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Step 2.1

Simplify each term.

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Step 2.1.1

Rewrite using the commutative property of multiplication.

$x y^{2} + 2 x y + x \cdot - 12 + 2 y^{2} + 2 (2 y) + 2 \cdot - 12$

Step 2.1.2

Move $- 12$ to the left of $x$ .

$x y^{2} + 2 x y - 12 \cdot x + 2 y^{2} + 2 (2 y) + 2 \cdot - 12$

Step 2.1.3

Multiply $2$ by $2$ .

$x y^{2} + 2 x y - 12 x + 2 y^{2} + 4 y + 2 \cdot - 12$

Step 2.1.4

Multiply $2$ by $- 12$ .

$x y^{2} + 2 x y - 12 x + 2 y^{2} + 4 y - 24$

Step 2.2

Move $- 12 x$ .

$x y^{2} + 2 x y + 2 y^{2} - 12 x + 4 y - 24$