Question

$\frac{6x - 30}{x + 8} \times \frac{x {}^{2} - 25 }{ 2x + 16}$
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Answer 1

$\frac{6x - 30}{x + 8} \times \frac{ {x}^{2} - 25}{2x + 16} = \frac{6(x - 5)}{x + 8} \times \frac{(x + 5)(x - 5)}{2(x + 8)} = \frac{3 {(x - 5)}^{2} \times (x + 5)}{ {(x + 8)}^{2} } = \frac{(3x + 15) \times ( {x - 10x + 25)}^{2} }{ {(x + 8)}^{2} } = \frac{3 {x}^{3} - 30 {x}^{2} + 75x + 15 {x}^{2} - 150x + 375 }{ {(x + 8)}^{2} } = \frac{3 {x}^{3} - 15 {x}^{2} - 75x + 375 }{ {(x + 8)}^{2} }$