Basic Math Examples

$(6 x + y) (6 x - y)$

Step 1

Expand $(6 x + y) (6 x - y)$ using the FOIL Method.

Tap for more steps...

Step 1.1

Apply the distributive property.

$6 x (6 x - y) + y (6 x - y)$

Step 1.2

Apply the distributive property.

$6 x (6 x) + 6 x (- y) + y (6 x - y)$

Step 1.3

Apply the distributive property.

$6 x (6 x) + 6 x (- y) + y (6 x) + y (- y)$

Step 2

Simplify and combine like terms.

Tap for more steps...

Step 2.1

Simplify each term.

Tap for more steps...

Step 2.1.1

Rewrite using the commutative property of multiplication.

$6 \cdot 6 x \cdot x + 6 x (- y) + y (6 x) + y (- y)$

Step 2.1.2

Multiply $x$ by $x$ by adding the exponents.

Tap for more steps...

Step 2.1.2.1

Move $x$ .

$6 \cdot 6 (x \cdot x) + 6 x (- y) + y (6 x) + y (- y)$

Step 2.1.2.2

Multiply $x$ by $x$ .

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

Step 2.1.3

Multiply $6$ by $6$ .

$36 x^{2} + 6 x (- y) + y (6 x) + y (- y)$

Step 2.1.4

Rewrite using the commutative property of multiplication.

$36 x^{2} + 6 \cdot - 1 x y + y (6 x) + y (- y)$

Step 2.1.5

Multiply $6$ by $- 1$ .

$36 x^{2} - 6 x y + y (6 x) + y (- y)$

Step 2.1.6

Rewrite using the commutative property of multiplication.

$36 x^{2} - 6 x y + 6 y x + y (- y)$

Step 2.1.7

Rewrite using the commutative property of multiplication.

$36 x^{2} - 6 x y + 6 y x - y \cdot y$

Step 2.1.8

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

Tap for more steps...

Step 2.1.8.1

Move $y$ .

$36 x^{2} - 6 x y + 6 y x - (y \cdot y)$

Step 2.1.8.2

Multiply $y$ by $y$ .

$36 x^{2} - 6 x y + 6 y x - y^{2}$

Step 2.2

Add $- 6 x y$ and $6 y x$ .

Tap for more steps...

Step 2.2.1

Move $y$ .

$36 x^{2} - 6 x y + 6 x y - y^{2}$

Step 2.2.2

Add $- 6 x y$ and $6 x y$ .

$36 x^{2} + 0 - y^{2}$

Step 2.3

Add $36 x^{2}$ and $0$ .

$36 x^{2} - y^{2}$