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Unlimited Practice: Factoring

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1. Factor: $64 x^{20} - 64 y^{16}$

$\left(4 x^{10} - 4 y^{8}\right) \left(4 x^{10} + 4 y^{8}\right)$

$\left(4 x^{10} - 8 y^{8}\right) \left(4 x^{10} + 8 y^{8}\right)$

$\left(- 8 x^{10} + 8 y^{8}\right) \left(8 x^{10} + 8 y^{8}\right)$

$\left(8 x^{10} - 8 y^{8}\right) \left(8 x^{10} + 8 y^{8}\right)$

2. Factor out the GCF: $3 x^{2} y + 2 x^{4} y^{6}$

$x^{2} y \left(2 x^{2} y^{5} + 3\right)$

$3 x^{2} y$

$2 x y^{2}$

$3 x^{4} y^{6}$

3. Factor: $9 x^{14} - 49 y^{12}$

$\left(- 3 x^{7} + 7 y^{6}\right) \left(3 x^{7} + 7 y^{6}\right)$

$\left(3 x^{7} + 7 y^{6}\right)^{2}$

$\left(3 x^{7} - 7 y^{6}\right)^{2}$

$\left(3 x^{7} - 7 y^{6}\right) \left(3 x^{7} + 7 y^{6}\right)$

4. Factor: $x^{2} + 13 x + 42$

$\left(x + 6\right)^{2}$

$\frac{1}{x + 6}$

$\frac{1}{x + 7}$

$\left(x + 6\right) \left(x + 7\right)$

5. Factor: $49 x^{12} - 25 y^{10}$

$\left(- 7 x^{6} + 5 y^{5}\right) \left(7 x^{6} + 5 y^{5}\right)$

$\left(7 x^{6} + 5 y^{5}\right)^{2}$

$\left(7 x^{6} - 5 y^{5}\right)^{2}$

$\left(7 x^{6} - 5 y^{5}\right) \left(7 x^{6} + 5 y^{5}\right)$

Go to Algebra Regents Course Home

Go to Lesson: Parabolas

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