Pre-Algebra Examples

$10 (x + 3) y^{2} + 62 (x + 3) y - 56 (x + 3)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$(10 x + 10 \cdot 3) y^{2} + 62 (x + 3) y - 56 (x + 3)$

Step 1.2

Multiply $10$ by $3$ .

$(10 x + 30) y^{2} + 62 (x + 3) y - 56 (x + 3)$

Step 1.3

Apply the distributive property.

$10 x y^{2} + 30 y^{2} + 62 (x + 3) y - 56 (x + 3)$

Step 1.4

Apply the distributive property.

$10 x y^{2} + 30 y^{2} + (62 x + 62 \cdot 3) y - 56 (x + 3)$

Step 1.5

Multiply $62$ by $3$ .

$10 x y^{2} + 30 y^{2} + (62 x + 186) y - 56 (x + 3)$

Step 1.6

Apply the distributive property.

$10 x y^{2} + 30 y^{2} + 62 x y + 186 y - 56 (x + 3)$

Step 1.7

Apply the distributive property.

$10 x y^{2} + 30 y^{2} + 62 x y + 186 y - 56 x - 56 \cdot 3$

Step 1.8

Multiply $- 56$ by $3$ .

$10 x y^{2} + 30 y^{2} + 62 x y + 186 y - 56 x - 168$

Step 2

Reorder.

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Step 2.1

Move $186 y$ .

$10 x y^{2} + 30 y^{2} + 62 x y - 56 x + 186 y - 168$

Step 2.2

Move $30 y^{2}$ .

$10 x y^{2} + 62 x y + 30 y^{2} - 56 x + 186 y - 168$