Algebra Examples

$a^{2} b^{2} c^{2} - a^{2} c^{2} x^{2} + a^{2} c^{2} y^{2}$

Step 1

Factor $a^{2} c^{2}$ out of $a^{2} b^{2} c^{2} - a^{2} c^{2} x^{2} + a^{2} c^{2} y^{2}$ .

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Step 1.1

Factor $a^{2} c^{2}$ out of $a^{2} b^{2} c^{2}$ .

$a^{2} c^{2} (b^{2}) - a^{2} c^{2} x^{2} + a^{2} c^{2} y^{2}$

Step 1.2

Factor $a^{2} c^{2}$ out of $- a^{2} c^{2} x^{2}$ .

$a^{2} c^{2} (b^{2}) + a^{2} c^{2} (- 1 x^{2}) + a^{2} c^{2} y^{2}$

Step 1.3

Factor $a^{2} c^{2}$ out of $a^{2} c^{2} y^{2}$ .

$a^{2} c^{2} (b^{2}) + a^{2} c^{2} (- 1 x^{2}) + a^{2} c^{2} (y^{2})$

Step 1.4

Factor $a^{2} c^{2}$ out of $a^{2} c^{2} (b^{2}) + a^{2} c^{2} (- 1 x^{2})$ .

$a^{2} c^{2} (b^{2} - 1 x^{2}) + a^{2} c^{2} (y^{2})$

Step 1.5

Factor $a^{2} c^{2}$ out of $a^{2} c^{2} (b^{2} - 1 x^{2}) + a^{2} c^{2} (y^{2})$ .

$a^{2} c^{2} (b^{2} - 1 x^{2} + y^{2})$

Step 2

Rewrite $- 1 x^{2}$ as $- x^{2}$ .

$a^{2} c^{2} (b^{2} - x^{2} + y^{2})$