Chemistry Examples

$(x + 3) (3 x - 91) T c$

Step 1

Expand $(x + 3) (3 x - 91)$ using the FOIL Method.

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Step 1.1

Apply the distributive property.

$(x (3 x - 91) + 3 (3 x - 91)) T c$

Step 1.2

Apply the distributive property.

$(x (3 x) + x \cdot - 91 + 3 (3 x - 91)) T c$

Step 1.3

Apply the distributive property.

$(x (3 x) + x \cdot - 91 + 3 (3 x) + 3 \cdot - 91) T c$

Step 2

Simplify and combine like terms.

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Step 2.1

Simplify each term.

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Step 2.1.1

Rewrite using the commutative property of multiplication.

$(3 x \cdot x + x \cdot - 91 + 3 (3 x) + 3 \cdot - 91) T c$

Step 2.1.2

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

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Step 2.1.2.1

Move $x$ .

$(3 (x \cdot x) + x \cdot - 91 + 3 (3 x) + 3 \cdot - 91) T c$

Step 2.1.2.2

Multiply $x$ by $x$ .

$(3 x^{2} + x \cdot - 91 + 3 (3 x) + 3 \cdot - 91) T c$

Step 2.1.3

Move $- 91$ to the left of $x$ .

$(3 x^{2} - 91 \cdot x + 3 (3 x) + 3 \cdot - 91) T c$

Step 2.1.4

Multiply $3$ by $3$ .

$(3 x^{2} - 91 x + 9 x + 3 \cdot - 91) T c$

Step 2.1.5

Multiply $3$ by $- 91$ .

$(3 x^{2} - 91 x + 9 x - 273) T c$

Step 2.2

Add $- 91 x$ and $9 x$ .

$(3 x^{2} - 82 x - 273) T c$

Step 3

Apply the distributive property.

$(3 x^{2} T - 82 x T - 273 T) c$

Step 4

Apply the distributive property.

$3 x^{2} T c - 82 x T c - 273 T c$