Factor x+z^2-2ax-2az^2

$x + z^{2} - 2 a x - 2 a z^{2}$

Step 1

Add parentheses.

$x + z^{2} - 2 (a x) - 2 (a z^{2})$

Step 2

Let $u = x$ . Substitute $u$ for all occurrences of $x$ .

$u + z^{2} - 2 a u - 2 a z^{2}$

Step 3

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(u + z^{2}) - 2 a u - 2 a z^{2}$

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

$1 (u + z^{2}) - 2 a (u + z^{2})$

Step 4

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

$(u + z^{2}) (1 - 2 a)$

Step 5

Replace all occurrences of $u$ with $x$ .

$(x + z^{2}) (1 - 2 a)$