Question

решить и разложить многочлен на множители 0,3ac^3 − 10a^2 − 7,5ac + 2/5 a^2 c^2

0,3ac^3 − 8a^2 − 4,8ac + 1/2 a^2 c^2

Answer 1

1)

$0.3a {c}^{3} - 10 {a}^{2} - 7.5ac + \frac{2}{5} {a}^{2} {c}^{2} = \frac{3}{10} a {c}^{3} - 8 {a}^{2} - \frac{24}{5} ac + \frac{1}{2} {a}^{2} {c}^{2} = a \times ( \frac{3}{10} {c}^{3} - 8a - \frac{24}{5} c + \frac{1}{2} a {c}^{2}$

2)

$0.3a {c}^{3} - 8 {a}^{2} - 4.8ac + \frac{1}{2} {a}^{2} {c}^{2} = \frac{3}{10} a {c}^{3} - 8 {a}^{2} - \frac{24}{5} ac + \frac{1}{2} {a}^{2} {c}^{2} = a \times ( \frac{3}{10} {c}^{3} - 8a - \frac{24}{5} c + \frac{1}{2} a {c}^{2} )$