Question

Subtract $\frac{7}{4}{y}^3+\frac{3}{5}{y}^2+\frac{1}{2}y+\frac{7}{2}$ from $\frac{9}{2}-\frac{y}{3}-\frac{y^2}{5}$.

Answer 1

According to the question,

$\Rightarrow \frac{9}{2}-\frac{y}{3}-\frac{y^2}{5}$ $-(\frac{7}{4}{y}^3+\frac{3}{5}{y}^2+\frac{1}{2}y+\frac{7}{2})$

$\Rightarrow \frac{9}{2}-\frac{y}{3}-\frac{y^2}{5}$ $-\frac{7}{4}{y}^3-\frac{3}{5}{y}^2-\frac{1}{2}y-\frac{7}{2}$

$\Rightarrow \frac{9-7}{2}-\left(\frac{2+3}{6}\right)y-\left(\frac{1+3}{5}\right)y^2$ $-\frac{7}{4}{y}^3$

$\Rightarrow \frac{2}{2}-\left(\frac{5}{6}\right)y-\left(\frac{4}{5}\right)y^2$ $-\frac{7}{4}{y}^3$

$\Rightarrow 1-\frac{5y}{6}-\frac{4y^2}{5}$ $-\frac{7}{4}{y}^3$

Hence, this is the answer.