Question

binomio de newton, productos notables, factorizacion
1. x^3+x^2
2. 2x^4+4x^2
3. x^2-4​

Answer 1

Explicación:

$T_{k+1} = (\frac{n}{k} ).a^{n-k}.b^{k}$ formula 1.

$(\frac{n}{k} ) = \frac{n!}{(n -k)!xk!}$formula 2.

1.$x^{3}$ + $x^{2}$

n = 1, k = 1

$T_{k+1} = (\frac{1}{1} ).(x^{3\\}) ^{1-1}.(x^{2} )^{1}$

$T_{k+1} = (\frac{1}{1} ).(x^{3}) .(x^{2} )^{1}$

$(\frac{1}{1} ) = \frac{1!}{(1 -1)!.1!}$ = 1

= 1.1.$x^{2}$

=$x^{2}$

2.

3. $x^{2}$-4​

n = 1, k = 1

$T_{k+1} = (\frac{1}{1} ).(x^{2}) ^{1-1}.(4)^{1}$

$(\frac{1}{1} ) = \frac{1!}{(1 -1)!.1!}$ = 1

= 1.1.4

=4