Question

1. Evaluate the following:
(3/2x+1)³-27x²/4-9x/2​

Answer 1

Step-by-step explanation:

(3 \div 2 + 1) ^3 \: \: - (27 {x}^{2} \div 4) - (9x \div 2)(3÷2+1)

3

−(27x

2

÷4)−(9x÷2)

((3 + 2) \div 2)^{3} \: - \binom{27 {x}^{2} } {4} \: - \binom{9x}{2}((3+2)÷2)

3

−(

4

27x

2

)−(

2

9x

)

( { \frac{5}{2} })^{3} \: - { \frac{27 {x}^{2} }{4} } \: - \frac{9x}{2}(

2

5

)

3

−

4

27x

2

−

2

9x

\frac{125}{8} \: - \frac{27 {x}^{2} }{4} \: - \frac{9x}{2}

8

125

−

4

27x

2

−

2

9x

\frac{125 - 54 {x}^{2} - 36x }{8}

8

125−54x

2

−36x

\frac{1}{8} (125 - 54 {x}^{2} - 36x)

8

1

(125−