Basic Math Examples

(t - 1) (t + 1)

$(t - 1) (t + 1)$

Step 1

Expand

(t - 1) (t + 1)

$(t - 1) (t + 1)$ using the FOIL Method.

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Step 1.1

Apply the distributive property.

t (t + 1) - 1 (t + 1)

$t (t + 1) - 1 (t + 1)$

Step 1.2

Apply the distributive property.

t \cdot t + t \cdot 1 - 1 (t + 1)

$t \cdot t + t \cdot 1 - 1 (t + 1)$

Step 1.3

Apply the distributive property.

t \cdot t + t \cdot 1 - 1 t - 1 \cdot 1

$t \cdot t + t \cdot 1 - 1 t - 1 \cdot 1$

t \cdot t + t \cdot 1 - 1 t - 1 \cdot 1

$t \cdot t + t \cdot 1 - 1 t - 1 \cdot 1$

Step 2

Simplify terms.

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Step 2.1

Combine the opposite terms in

t \cdot t + t \cdot 1 - 1 t - 1 \cdot 1

$t \cdot t + t \cdot 1 - 1 t - 1 \cdot 1$ .

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Step 2.1.1

Reorder the factors in the terms

t \cdot 1

$t \cdot 1$ and

- 1 t

$- 1 t$ .

t \cdot t + 1 t - 1 t - 1 \cdot 1

$t \cdot t + 1 t - 1 t - 1 \cdot 1$

Step 2.1.2

Subtract

1 t

$1 t$ from

1 t

$1 t$ .

t \cdot t + 0 - 1 \cdot 1

$t \cdot t + 0 - 1 \cdot 1$

Step 2.1.3

Add

t \cdot t

$t \cdot t$ and

0

$0$ .

t \cdot t - 1 \cdot 1

$t \cdot t - 1 \cdot 1$

t \cdot t - 1 \cdot 1

$t \cdot t - 1 \cdot 1$

Step 2.2

Simplify each term.

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Step 2.2.1

Multiply

t

$t$ by

t

$t$ .

t^{2} - 1 \cdot 1

$t^{2} - 1 \cdot 1$

Step 2.2.2

Multiply

- 1

$- 1$ by

1

$1$ .

t^{2} - 1

$t^{2} - 1$

t^{2} - 1

$t^{2} - 1$

t^{2} - 1

$t^{2} - 1$

[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$