Question 1179302

{{{5(x + 2)^5 - 2(x -1)^2}}}

={{{5((5C0)(x)^(5-0)*(2)^0 +(5C1)(x)^(5-1)*(2)^1+(5C2)(x)^(5-2)*(2)^2+(5C3)(x)^(5-3)*(2)^3+(5C4)(x)^(5-4)*(2)^4+(5C5)(x)^(5-5)*(2)^5) -2((2C0)x^(2-0)*(-1)^0+(2C1)x^(2-1)*(-1)^1+(2C2)x^(2-2)*(-1)^2)}}}

={{{5(1*x^5*1+5*x^4(2)^1 +10*x^3(2)^2+10*x^2(2)^3+5*x^1(2)^4+1*x^0(2)^5)-2(x^2 - 2 x + 1)}}}

={{{5(x^5 + 10 x^4 + 40 x^3 + 80 x^2 + 80 x + 32)-2 x^2 + 4 x - 2}}}

={{{5x^5 + 50x^4 + 200x^3 + 400x^2 + 400x + 160  -2 x^2 + 4 x - 2}}}

={{{5x^5 + 50 x^4 + 200 x^3 + 398 x^2 + 404 x + 158}}}