Basic Math Examples

$(2 t - s p) (s t - p)$

Step 1

Expand $(2 t - s p) (s t - p)$ using the FOIL Method.

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Step 1.1

Apply the distributive property.

$2 t (s t - p) - s p (s t - p)$

Step 1.2

Apply the distributive property.

$2 t (s t) + 2 t (- p) - s p (s t - p)$

Step 1.3

Apply the distributive property.

$2 t (s t) + 2 t (- p) - s p (s t) - s p (- p)$

Step 2

Simplify each term.

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Step 2.1

Multiply $t$ by $t$ by adding the exponents.

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Step 2.1.1

Move $t$ .

$2 (t \cdot t) s + 2 t (- p) - s p (s t) - s p (- p)$

Step 2.1.2

Multiply $t$ by $t$ .

$2 t^{2} s + 2 t (- p) - s p (s t) - s p (- p)$

Step 2.2

Rewrite using the commutative property of multiplication.

$2 t^{2} s + 2 \cdot - 1 t p - s p (s t) - s p (- p)$

Step 2.3

Multiply $2$ by $- 1$ .

$2 t^{2} s - 2 t p - s p (s t) - s p (- p)$

Step 2.4

Multiply $s$ by $s$ by adding the exponents.

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Step 2.4.1

Move $s$ .

$2 t^{2} s - 2 t p - (s \cdot s) p t - s p (- p)$

Step 2.4.2

Multiply $s$ by $s$ .

$2 t^{2} s - 2 t p - s^{2} p t - s p (- p)$

Step 2.5

Multiply $p$ by $p$ by adding the exponents.

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Step 2.5.1

Move $p$ .

$2 t^{2} s - 2 t p - s^{2} p t - s (p \cdot p) \cdot - 1$

Step 2.5.2

Multiply $p$ by $p$ .

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

Step 2.6

Multiply $- s p^{2} \cdot - 1$ .

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Step 2.6.1

Multiply $- 1$ by $- 1$ .

$2 t^{2} s - 2 t p - s^{2} p t + 1 s p^{2}$

Step 2.6.2

Multiply $s$ by $1$ .

$2 t^{2} s - 2 t p - s^{2} p t + s p^{2}$