Question

binomio de newton
a) (5+x)⁴
b) (2x+b)³

Answer 1

$a) \\ \\ (5 + x)^4 \\ \\ \\ (5 + x)^2 * (5 + x)^2 \\ \\ (5 + x)^2 * (5 + x) (5 + x) \\ \\ (5 + x)^2 * (x^2 + 10x + 25) \\ \\ (x^2 + 10x + 25)*(x^2 + 10x + 25) \\ \\ => x^4 + 20x^3 + 150x^2 + 500x + 625$

====

$b) \\ \\ (2x + b)^3 \\ \\ (2x + b)^2 * (2x + b) \\ \\ (4x^2 + 4bx + b^2) * (2x + b) \\ \\ \\=> b^3 + 6xb^2 + 12x^2b +8x^3$