Question 44625
{{{(5x + 2)^4}}}
{{{(5x + 2)(5x + 2)(5x + 2)(5x + 2)}}}
{{{(25x^2 + 20x + 4)(5x + 2)(5x + 2)}}}
{{{(125x^3 + 150x^2 + 60x + 8)(5x + 2)}}}
{{{625x^4 + 1000x^3 + 600x^2 + 160x + 16}}}
Or: Use Binomial Experiment --->
For {{{(T + F)^4 = T^4F^0 + T^3F^1 + T^2F^2 + T^1F^3 + T^0F^4}}}
C(4,4)(5x)^4(2)^0 + C(4,3)(5x)^3(2)^1 + C(4,2)(5x)^2(2)^2 + C(4,1)(5x)^1(2)^3 + C(4,0)(5x)^0(2)^4
(1)(625x^4)(1) + (4)(125x^3)(2) + (6)(25x^2)(4) + (4)(5x)(8) + (1)(1)(16)
625x^4 + 1000x^3 + 600x^2 + 160x + 16