Question

State True or False.
Expanded form of ${(\frac{3}{2}x+1)}^3=$$\frac{27}{8}{x}^3+\frac{27}{4}{x}^2+\frac{9}{2}x+1$

• A. True
• B. False

Answer 1

The correct option is A True

Formula used: $(a+b{)}^3=a^3+3a^{2}b+3a{b}^2+b^3$
Now, $(\frac{3}{2}x+1{)}^3=(\frac{3}{2}x{)}^3+3\times (\frac{3}{2}x{)}^2\times 1+3\times (\frac{3}{2}x)\times (1{)}^2+(1{)}^3$
$=\frac{27}{8}{x}^3+\frac{27}{4}{x}^2+\frac{9}{2}x+1$