Pre-Algebra Examples

$- 9 x^{2} y + 4 y (- 3 x y - 8 x) + 4 x y^{2} + 9 x^{2} (y + 10)$

Step 1

The polynomial cannot be factored using the grouping method. Try a different method, or if you aren't sure, choose Factor.

The polynomial cannot be factored using the grouping method.

Step 2

Apply the distributive property.

$- 9 x^{2} y + 4 y (- 3 x y) + 4 y (- 8 x) + 4 x y^{2} + 9 x^{2} (y + 10)$

Step 3

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

Tap for more steps...

Step 3.1

Move $y$ .

$- 9 x^{2} y + 4 (y \cdot y) (- 3 x) + 4 y (- 8 x) + 4 x y^{2} + 9 x^{2} (y + 10)$

Step 3.2

Multiply $y$ by $y$ .

$- 9 x^{2} y + 4 y^{2} (- 3 x) + 4 y (- 8 x) + 4 x y^{2} + 9 x^{2} (y + 10)$

Step 4

Rewrite using the commutative property of multiplication.

$- 9 x^{2} y + 4 y^{2} (- 3 x) + 4 \cdot - 8 y x + 4 x y^{2} + 9 x^{2} (y + 10)$

Step 5

Simplify each term.

Tap for more steps...

Step 5.1

Rewrite using the commutative property of multiplication.

$- 9 x^{2} y + 4 \cdot - 3 y^{2} x + 4 \cdot - 8 y x + 4 x y^{2} + 9 x^{2} (y + 10)$

Step 5.2

Multiply $4$ by $- 3$ .

$- 9 x^{2} y - 12 y^{2} x + 4 \cdot - 8 y x + 4 x y^{2} + 9 x^{2} (y + 10)$

Step 5.3

Multiply $4$ by $- 8$ .

$- 9 x^{2} y - 12 y^{2} x - 32 y x + 4 x y^{2} + 9 x^{2} (y + 10)$

Step 6

Apply the distributive property.

$- 9 x^{2} y - 12 y^{2} x - 32 y x + 4 x y^{2} + 9 x^{2} y + 9 x^{2} \cdot 10$

Step 7

Multiply $10$ by $9$ .

$- 9 x^{2} y - 12 y^{2} x - 32 y x + 4 x y^{2} + 9 x^{2} y + 90 x^{2}$

Step 8

Add $- 9 x^{2} y$ and $9 x^{2} y$ .

$- 12 y^{2} x - 32 y x + 4 x y^{2} + 0 + 90 x^{2}$

Step 9

Add $- 12 y^{2} x$ and $4 x y^{2}$ .

Tap for more steps...

Step 9.1

Move $y^{2}$ .

$- 12 x y^{2} + 4 x y^{2} - 32 y x + 0 + 90 x^{2}$

Step 9.2

Add $- 12 x y^{2}$ and $4 x y^{2}$ .

$- 8 x y^{2} - 32 y x + 0 + 90 x^{2}$

Step 10

Add $- 8 x y^{2}$ and $0$ .

$- 8 x y^{2} - 32 y x + 90 x^{2}$

Step 11

Factor $2 x$ out of $- 8 x y^{2} - 32 y x + 90 x^{2}$ .

Tap for more steps...

Step 11.1

Factor $2 x$ out of $- 8 x y^{2}$ .

$2 x (- 4 y^{2}) - 32 y x + 90 x^{2}$

Step 11.2

Factor $2 x$ out of $- 32 y x$ .

$2 x (- 4 y^{2}) + 2 x (- 16 y) + 90 x^{2}$

Step 11.3

Factor $2 x$ out of $90 x^{2}$ .

$2 x (- 4 y^{2}) + 2 x (- 16 y) + 2 x (45 x)$

Step 11.4

Factor $2 x$ out of $2 x (- 4 y^{2}) + 2 x (- 16 y)$ .

$2 x (- 4 y^{2} - 16 y) + 2 x (45 x)$

Step 11.5

Factor $2 x$ out of $2 x (- 4 y^{2} - 16 y) + 2 x (45 x)$ .

$2 x (- 4 y^{2} - 16 y + 45 x)$