Algebra Examples

$2 y (6 x - 4 x^{2} y) + 13 x^{2} y^{2} - 6$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$2 y (6 x) + 2 y (- 4 x^{2} y) + 13 x^{2} y^{2} - 6$

Step 1.2

Rewrite using the commutative property of multiplication.

$2 \cdot 6 y x + 2 y (- 4 x^{2} y) + 13 x^{2} y^{2} - 6$

Step 1.3

Multiply $y$ by $y$ by adding the exponents.

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Step 1.3.1

Move $y$ .

$2 \cdot 6 y x + 2 (y \cdot y) (- 4 x^{2}) + 13 x^{2} y^{2} - 6$

Step 1.3.2

Multiply $y$ by $y$ .

$2 \cdot 6 y x + 2 y^{2} (- 4 x^{2}) + 13 x^{2} y^{2} - 6$

Step 1.4

Simplify each term.

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Step 1.4.1

Multiply $2$ by $6$ .

$12 y x + 2 y^{2} (- 4 x^{2}) + 13 x^{2} y^{2} - 6$

Step 1.4.2

Rewrite using the commutative property of multiplication.

$12 y x + 2 \cdot - 4 y^{2} x^{2} + 13 x^{2} y^{2} - 6$

Step 1.4.3

Multiply $2$ by $- 4$ .

$12 y x - 8 y^{2} x^{2} + 13 x^{2} y^{2} - 6$

Step 2

Add $- 8 y^{2} x^{2}$ and $13 x^{2} y^{2}$ .

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Step 2.1

Move $y^{2}$ .

$12 y x - 8 x^{2} y^{2} + 13 x^{2} y^{2} - 6$

Step 2.2

Add $- 8 x^{2} y^{2}$ and $13 x^{2} y^{2}$ .

$12 y x + 5 x^{2} y^{2} - 6$