Factor 25x^2-4y^2z^2

$25 x^{2} - 4 y^{2} z^{2}$

Step 1

Rewrite $25 x^{2}$ as ${(5 x)}^{2}$ .

${(5 x)}^{2} - 4 y^{2} z^{2}$

Step 2

Rewrite $4 y^{2} z^{2}$ as ${(2 y z)}^{2}$ .

${(5 x)}^{2} - {(2 y z)}^{2}$

Step 3

Since both terms are perfect squares, factor using the difference of squares formula, $a^{2} - b^{2} = (a + b) (a - b)$ where $a = 5 x$ and $b = 2 y z$ .

$(5 x + 2 y z) (5 x - (2 y z))$

Step 4

Simplify.

Multiply $2$ by $- 1$ .

$(5 x + 2 y z) (5 x - 2 (y z))$

Remove parentheses.

$(5 x + 2 y z) (5 x - 2 y z)$

Factor 25x^2-4y^2z^2

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