Question

(5×+1/2)3

please let me know ​

Answer 1

Step-by-step explanation:

(5x+1/2)3

=(5x)^3 + (1/2)^3 -3*5x*1/2 (5x+1/2)

=125x^3 + 1/8 -15x/2 (5x+1/2)

=125x^3 +1/8 - (75x^2)/2 -15x/4

=125x^3 - (75x^2)/3 -15x/4 +1/8

Answer 2

$= (5 x + \frac{1}{2} )^{3}$

$( {a + b)}^{3} = {a}^{3} + {b}^{3} + 3 {a}^{2}b + 3 {ab}^{2}$

$= ( {5x)}^{3} + ( { \frac{1}{2} )}^{3} + 3( {5x)}^{2} \times \frac{1}{2} + 3 \times 5x \times ( \frac{1}{2} ) ^{2}$

$= 25 {x}^{3} + \frac{1}{8} + {15x}^{2} \times \frac{1}{2} + 15x \times \frac{1}{4}$

$= {25x}^{3} + \frac{1}{8} + {7.5x}^{2} + 3.75x$