Simplify 2y(6x-4x^2y)+13x^2y^2-6

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

Step 1

Simplify each term.

Apply the distributive property.

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

Rewrite using the commutative property of multiplication.

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

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

Move $y$ .

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

Multiply $y$ by $y$ .

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

Simplify each term.

Multiply $2$ by $6$ .

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

Rewrite using the commutative property of multiplication.

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

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 $13 x^{2} y^{2}$ .

Move $y^{2}$ .

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

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

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