Is by the process of expansion `|(2,-1,0),(1,3,-4),(5,-3,4)|`

Find the coefficient of x^(4) in the expansion of (1-4x)^(-3//5) .

Compute the product of [{:(2,3,4),(3,4,5),(4,5,6):}]and[{:(1,-3,5),(0,2,4),(3,0,5):}] .

Evaluate the determinant |{:(" "2,3,-5),(" "7,1,-2),(-3,4," "1):}| by expansion with sarrus rule.

Write the general term in the expansion of (3 - (5x)/(4))^(-1//2)

Compute the indicated products : (1) [{:(3,-1,4),(2,3,1):}][{:(1,3,4),(2,1,0),(-3,2,3):}] (2) [{:(1,3),(2,1):}][{:(4),(-1):}] (3) [{:(1,4,2),(5,-2,3):}][{:(2,-4),(1,-3),(4,0):}] (4) [1" "2," "3][{:(2),(4),(6):}] (5) [{:(2),(4),(6):}][1" "2," "3]

What is the coefficient of x^(5) in the expansion (1-2x+3x^(2)-4x^(3)+……oo)^(-5) ?

The coefficient of x^(5) in the expansion of (1+(x)/(1!)+(x^(2))/(2!)+(x^(3))/(3!)+(x^(4))/(4!)+(x^(5))/(5!))^(2) is

Find the coefficient of : (i) x^3 in the expansion of (1 - x)^(-1/4) (ii) x^2 in the expansion of (5 - 3x)^(-1/3)