Finite Math Examples

$7 x (2 x - 5 y)$

Step 1

Simplify by multiplying through.

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Step 1.1

Apply the distributive property.

$7 x (2 x) + 7 x (- 5 y)$

Step 1.2

Reorder.

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Step 1.2.1

Rewrite using the commutative property of multiplication.

$7 \cdot 2 x \cdot x + 7 x (- 5 y)$

Step 1.2.2

Rewrite using the commutative property of multiplication.

$7 \cdot 2 x \cdot x + 7 \cdot - 5 x y$

Step 2

Simplify each term.

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Step 2.1

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

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Step 2.1.1

Move $x$ .

$7 \cdot 2 (x \cdot x) + 7 \cdot - 5 x y$

Step 2.1.2

Multiply $x$ by $x$ .

$7 \cdot 2 x^{2} + 7 \cdot - 5 x y$

Step 2.2

Multiply $7$ by $2$ .

$14 x^{2} + 7 \cdot - 5 x y$

Step 2.3

Multiply $7$ by $- 5$ .

$14 x^{2} - 35 x y$