Verified answer

......................1

.....................1..1

...................1..2...1

.................1..3...3...1

...............1..4...6...4...1

.............1..5..10..10..5...1

(2x-1)^5=

=(2x)^5+5(2x)^4.(-1)+10(2x)^3.(-1)^2+

+10(2x)^2(-1)^3+5(2x)(-1)^4+(-1)^5=

=32x^5-80x^4+80x^3-40x^2+10x-1

:::::::::::::::::::::::::::::::::::::::::::::

(2x)^5 -(2x)^4 (1) + (2x)^3 (1)^2 - (2x)^2 (1)^3 + (2x) (1)^4 - (1)^5

32x^5 - 16x^4 + 8x^3 - 4x^2 + 2x - 1