18. $$ \frac{b^{2}+4 b+4}{2 b^{2}-8} \cdot \frac{3 b-6}{4 b} $$

Question

UpStudy AI · Accepted Answer

Calculate or simplify the expression $$ (b^{2}+4b+4)/(2b^{2}-8) * (3b-6)/(4b) $$.
Simplify the expression by following steps:
- step0: Solution:
  $$\frac{\frac{\left(b^{2}+4b+4ight)}{\left(2b^{2}-8ight)}	imes \left(3b-6ight)}{4b}$$
- step1: Remove the parentheses:
  $$\frac{\frac{b^{2}+4b+4}{2b^{2}-8}	imes \left(3b-6ight)}{4b}$$
- step2: Divide the terms:
  $$\frac{\frac{b+2}{2b-4}	imes \left(3b-6ight)}{4b}$$
- step3: Multiply the terms:
  $$\frac{\frac{3\left(b+2ight)}{2}}{4b}$$
- step4: Multiply by the reciprocal:
  $$\frac{3\left(b+2ight)}{2}	imes \frac{1}{4b}$$
- step5: Multiply the terms:
  $$\frac{3\left(b+2ight)}{2	imes 4b}$$
- step6: Multiply the terms:
  $$\frac{3\left(b+2ight)}{8b}$$
- step7: Simplify:
  $$\frac{3b+6}{8b}$$
The simplified form of the expression $$ \frac{b^{2}+4 b+4}{2 b^{2}-8} \cdot \frac{3 b-6}{4 b} $$ is $$ \frac{3b+6}{8b} $$.
The simplified form of the expression is $$ \frac{3b+6}{8b} $$.

Upstudy AI Solution

Answer

Solution

Extra Insights

Related Questions

Latest Algebra Questions