Question

Find the simplified product $b-\left(\frac{5}{2b}\times b^2\right)+\frac{3b}{b}-5$.

Answer 1

Find the simplified product:

PEMDAS is an acronym used to mention the order of operations to be followed while solving expressions having multiple operations. PEMDAS stands for P- Parentheses, E- Exponents, M- Multiplication, D- Division, A- Addition, and S- Subtraction.

Apply PEMDAS rule:

$\mathrm{b}-\left(\frac{5}{2\mathrm{b}}\times {\mathrm{b}}^2\right)+\frac{3\mathrm{b}}{\mathrm{b}}-5$.

$$\begin{gathered} =b-\frac{5}{2}\times b+\frac{3b}{b}-5 \\ =\mathrm{b}-\frac{5\mathrm{b}}{2}+\frac{3\mathrm{b}}{\mathrm{b}}-5 \\ =\mathrm{b}-\frac{5\mathrm{b}}{2}+3-5 \\ =\mathrm{b}-\frac{5\mathrm{b}}{2}-2 \\ =\frac{2b-5b}{2}-2 \\ =\frac{-3b}{2}-2 \end{gathered}$$

Hence,$\frac{-3b}{2}-2$ is required answer.