Question

$55(x {}^{4} - 5x {}^{3} - 24x {}^{2}) \div 11x(x8)$
plzz answer with full solution​

Answer 1

Answer:

$\large\boxed{\sf{\frac{5}{8} {x}^{2} - \frac{25}{8} x - 3}}$

Step-by-step explanation:

$\dfrac{55( {x}^{4} - 5 {x}^{3} - 24 {x}^{2} ) }{11x(8x)} \\ \\ = \dfrac{55( {x}^{4} - 5 {x}^{3} - 24 {x}^{2} ) }{11 \times 8 {x}^{2} } \\ \\ = \dfrac{55 {x}^{2}( {x}^{2} - 5x - 24) }{11 \times 8 {x}^{2} } \\ \\ = \dfrac{5( {x}^{2} - 5x - 24)}{8} \\ \\ = \dfrac{5}{8} {x}^{2} - \frac{25}{8} x - \frac{24}{8} \\ \\ = \dfrac{5}{8} {x}^{2} - \frac{25}{8} x - 3$