Algebra Examples

$- 4 x \cdot 3 y \cdot 2 (7 x y \cdot 4)$

Step 1

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

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Step 1.1

Move $x$ .

$- 4 (x \cdot x) \cdot (3 y) \cdot (2 (7 y \cdot 4))$

Step 1.2

Multiply $x$ by $x$ .

$- 4 x^{2} \cdot (3 y) \cdot (2 (7 y \cdot 4))$

Step 2

Multiply $y$ by $y$ by adding the exponents.

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Step 2.1

Move $y$ .

$- 4 x^{2} \cdot (3 (y \cdot y)) \cdot (2 (7 \cdot 4))$

Step 2.2

Multiply $y$ by $y$ .

$- 4 x^{2} \cdot (3 y^{2}) \cdot (2 (7 \cdot 4))$

Step 3

Rewrite using the commutative property of multiplication.

$- 4 \cdot 3 x^{2} y^{2} \cdot (2 (7 \cdot 4))$

Step 4

Multiply $- 4$ by $3$ .

$- 12 x^{2} y^{2} \cdot (2 (7 \cdot 4))$

Step 5

Multiply $2 (7 \cdot 4)$ .

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Step 5.1

Multiply $7$ by $4$ .

$- 12 x^{2} y^{2} \cdot (2 \cdot 28)$

Step 5.2

Multiply $2$ by $28$ .

$- 12 x^{2} y^{2} \cdot 56$

Step 6

Multiply $56$ by $- 12$ .

$- 672 x^{2} y^{2}$