Question

write the co-efficient •of X in the expression (X+5)^3​

Answer 1

Answer:

75

Step-by-step explanation:

(x+5)³

=x³+(3*x²*5)+(3*x*5²)+5³

=x³+15x²+75x+125

hence the coefficient of x is 75.

Answer 2

Answer:

3  Or 75

Step-by-step explanation:

Write the co-efficient •of X in the expression (X+5)^3​

( a + b)ⁿ = aⁿ  + ⁿC₁aⁿ⁻¹b¹ + ⁿC₂aⁿ⁻¹b¹ +.......................................+ ⁿCn₋₁a₁bⁿ⁻¹+ bⁿ

a = X  , b = 5  , n = 3

Coefficient of X means  coefficient of X¹ = ³C₃₋₁ = ³C₂  = 3  

here b is also numeral  so if we consider thats also as coefficient of X

Then coefficient of X¹ = ³C₃₋₁ 5³⁻¹ = ³C₂ 5² =  3 * 25 = 75