Basic Math Examples

$r (z^{2} - 6) + (z^{2} - 6)$

Step 1

Remove parentheses.

$r (z^{2} - 6) + z^{2} - 6$

Step 2

Apply the distributive property.

$r z^{2} + r \cdot - 6 + z^{2} - 6$

Step 3

Move $- 6$ to the left of $r$ .

$r z^{2} - 6 r + z^{2} - 6$

Step 4

Rewrite $r z^{2} - 6 r + z^{2} - 6$ in a factored form.

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Step 4.1

Factor out the greatest common factor from each group.

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Step 4.1.1

Group the first two terms and the last two terms.

$(r z^{2} - 6 r) + z^{2} - 6$

Step 4.1.2

Factor out the greatest common factor (GCF) from each group.

$r (z^{2} - 6) + 1 (z^{2} - 6)$

Step 4.2

Factor the polynomial by factoring out the greatest common factor, $z^{2} - 6$ .

$(z^{2} - 6) (r + 1)$