Algebra Examples

$(k^{3} - k^{2} j + k j^{2} - j^{3}) - (k^{3} + k^{2} j + j^{3})$

Step 1

Apply the distributive property.

$k^{3} - k^{2} j + k j^{2} - j^{3} - k^{3} - k^{2} j - j^{3}$

Step 2

Simplify by adding terms.

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Step 2.1

Combine the opposite terms in $k^{3} - k^{2} j + k j^{2} - j^{3} - k^{3} - k^{2} j - j^{3}$ .

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Step 2.1.1

Subtract $k^{3}$ from $k^{3}$ .

$- k^{2} j + k j^{2} - j^{3} + 0 - k^{2} j - j^{3}$

Step 2.1.2

Add $- k^{2} j + k j^{2} - j^{3}$ and $0$ .

$- k^{2} j + k j^{2} - j^{3} - k^{2} j - j^{3}$

Step 2.2

Subtract $k^{2} j$ from $- k^{2} j$ .

$k j^{2} - j^{3} - 2 k^{2} j - j^{3}$

Step 2.3

Subtract $j^{3}$ from $- j^{3}$ .

$k j^{2} - 2 j^{3} - 2 k^{2} j$

Step 2.4

Simplify the expression.

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Step 2.4.1

Reorder $k$ and $j^{2}$ .

$j^{2} k - 2 j^{3} - 2 k^{2} j$

Step 2.4.2

Move $k^{2}$ .

$j^{2} k - 2 j^{3} - 2 j k^{2}$

Step 2.4.3

Move $- 2 j^{3}$ .

$j^{2} k - 2 j k^{2} - 2 j^{3}$

Step 2.4.4

Reorder $j^{2} k$ and $- 2 j k^{2}$ .

$- 2 j k^{2} + j^{2} k - 2 j^{3}$