Basic Math Examples

$(9 - 0.7 t) (9 + 0.7 t)$

Step 1

Expand $(9 - 0.7 t) (9 + 0.7 t)$ using the FOIL Method.

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Step 1.1

Apply the distributive property.

$9 (9 + 0.7 t) - 0.7 t (9 + 0.7 t)$

Step 1.2

Apply the distributive property.

$9 \cdot 9 + 9 (0.7 t) - 0.7 t (9 + 0.7 t)$

Step 1.3

Apply the distributive property.

$9 \cdot 9 + 9 (0.7 t) - 0.7 t \cdot 9 - 0.7 t (0.7 t)$

Step 2

Simplify terms.

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Step 2.1

Combine the opposite terms in $9 \cdot 9 + 9 (0.7 t) - 0.7 t \cdot 9 - 0.7 t (0.7 t)$ .

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Step 2.1.1

Reorder the factors in the terms $9 (0.7 t)$ and $- 0.7 t \cdot 9$ .

$9 \cdot 9 + 0.7 \cdot 9 t - 0.7 \cdot 9 t - 0.7 t (0.7 t)$

Step 2.1.2

Subtract $0.7 \cdot 9 t$ from $0.7 \cdot 9 t$ .

$9 \cdot 9 + 0 \cdot 9 t - 0.7 t (0.7 t)$

Step 2.2

Simplify each term.

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Step 2.2.1

Multiply $9$ by $9$ .

$81 + 0 \cdot 9 t - 0.7 t (0.7 t)$

Step 2.2.2

Multiply $0$ by $9$ .

$81 + 0 t - 0.7 t (0.7 t)$

Step 2.2.3

Multiply $0$ by $t$ .

$81 + 0 - 0.7 t (0.7 t)$

Step 2.2.4

Rewrite using the commutative property of multiplication.

$81 + 0 - 0.7 \cdot 0.7 t \cdot t$

Step 2.2.5

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

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Step 2.2.5.1

Move $t$ .

$81 + 0 - 0.7 \cdot 0.7 (t \cdot t)$

Step 2.2.5.2

Multiply $t$ by $t$ .

$81 + 0 - 0.7 \cdot 0.7 t^{2}$

Step 2.2.6

Multiply $- 0.7$ by $0.7$ .

$81 + 0 - 0.49 t^{2}$

Step 2.3

Add $81$ and $0$ .

$81 - 0.49 t^{2}$