Pre-Algebra Examples

$7 x (6 x + 4 y)$

Step 1

Simplify by multiplying through.

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Step 1.1

Apply the distributive property.

$7 x (6 x) + 7 x (4 y)$

Step 1.2

Reorder.

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Step 1.2.1

Rewrite using the commutative property of multiplication.

$7 \cdot 6 x \cdot x + 7 x (4 y)$

Step 1.2.2

Rewrite using the commutative property of multiplication.

$7 \cdot 6 x \cdot x + 7 \cdot 4 x y$

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 $x$ .

$7 \cdot 6 (x \cdot x) + 7 \cdot 4 x y$

Step 2.1.2

Multiply $x$ by $x$ .

$7 \cdot 6 x^{2} + 7 \cdot 4 x y$

Step 2.2

Multiply $7$ by $6$ .

$42 x^{2} + 7 \cdot 4 x y$

Step 2.3

Multiply $7$ by $4$ .

$42 x^{2} + 28 x y$