Trigonometry Examples

$7 x (2) (x^{2} + 1) (2 x) - {(x^{2} + 1)}^{2} \cdot 7$

Step 1

Multiply $7 x$ by $2$ .

$7 x \cdot 2 (x^{2} + 1) (2 x) - {(x^{2} + 1)}^{2} \cdot 7$

Step 2

Factor $x^{2} + 1$ out of $7 x \cdot 2 (x^{2} + 1) (2 x) - {(x^{2} + 1)}^{2} \cdot 7$ .

Tap for more steps...

Step 2.1

Factor $x^{2} + 1$ out of $7 x \cdot 2 (x^{2} + 1) (2 x)$ .

$(x^{2} + 1) (7 x \cdot 2 (2 x)) - {(x^{2} + 1)}^{2} \cdot 7$

Step 2.2

Factor $x^{2} + 1$ out of $- {(x^{2} + 1)}^{2} \cdot 7$ .

$(x^{2} + 1) (7 x \cdot 2 (2 x)) + (x^{2} + 1) (- (x^{2} + 1) \cdot 7)$

Step 2.3

Factor $x^{2} + 1$ out of $(x^{2} + 1) (7 x \cdot 2 (2 x)) + (x^{2} + 1) (- (x^{2} + 1) \cdot 7)$ .

$(x^{2} + 1) (7 x \cdot 2 (2 x) - (x^{2} + 1) \cdot 7)$

Step 3

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

Tap for more steps...

Step 3.1

Move $x$ .

$(x^{2} + 1) (7 (x \cdot x) \cdot 2 \cdot 2 - (x^{2} + 1) \cdot 7)$

Step 3.2

Multiply $x$ by $x$ .

$(x^{2} + 1) (7 x^{2} \cdot 2 \cdot 2 - (x^{2} + 1) \cdot 7)$

Step 4

Multiply $2$ by $7$ .

$(x^{2} + 1) (14 x^{2} \cdot 2 - (x^{2} + 1) \cdot 7)$

Step 5

Multiply $2$ by $14$ .

$(x^{2} + 1) (28 x^{2} - (x^{2} + 1) \cdot 7)$

Step 6

Apply the distributive property.

$(x^{2} + 1) (28 x^{2} + (- x^{2} - 1 \cdot 1) \cdot 7)$

Step 7

Multiply $- 1$ by $1$ .

$(x^{2} + 1) (28 x^{2} + (- x^{2} - 1) \cdot 7)$

Step 8

Apply the distributive property.

$(x^{2} + 1) (28 x^{2} - x^{2} \cdot 7 - 1 \cdot 7)$

Step 9

Multiply $7$ by $- 1$ .

$(x^{2} + 1) (28 x^{2} - 7 x^{2} - 1 \cdot 7)$

Step 10

Multiply $- 1$ by $7$ .

$(x^{2} + 1) (28 x^{2} - 7 x^{2} - 7)$

Step 11

Subtract $7 x^{2}$ from $28 x^{2}$ .

$(x^{2} + 1) (21 x^{2} - 7)$

Step 12

Factor.

Tap for more steps...

Step 12.1

Factor $7$ out of $21 x^{2} - 7$ .

Tap for more steps...

Step 12.1.1

Factor $7$ out of $21 x^{2}$ .

$(x^{2} + 1) (7 (3 x^{2}) - 7)$

Step 12.1.2

Factor $7$ out of $- 7$ .

$(x^{2} + 1) (7 (3 x^{2}) + 7 (- 1))$

Step 12.1.3

Factor $7$ out of $7 (3 x^{2}) + 7 (- 1)$ .

$(x^{2} + 1) (7 (3 x^{2} - 1))$

Step 12.2

Remove unnecessary parentheses.

$(x^{2} + 1) \cdot 7 (3 x^{2} - 1)$