(x^(4n))/(4^(n+1))(x^2-2x+2) −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6 −3 -2.5 −2 -1.5 −1 -0.5 0 0.5 1 1.5 2 2.5 3 x y
Exercício
x 4 n 4 n + 1 ⋅ ( x 2 − 2 x + 2 ) \frac{x^{4n}}{4^{n+1}}\cdot\left(x^2-2x+2\right) 4 n + 1 x 4 n ⋅ ( x 2 − 2 x + 2 )
Solução explicada passo a passo
1
Multiplique o termo x 4 n 4 ( n + 1 ) \frac{x^{4n}}{4^{\left(n+1\right)}} 4 ( n + 1 ) x 4 n por cada termo do polinômio ( x 2 − 2 x + 2 ) \left(x^2-2x+2\right) ( x 2 − 2 x + 2 )
x 2 x 4 n 4 ( n + 1 ) − 2 x ( x 4 n 4 ( n + 1 ) ) + 2 ( x 4 n 4 ( n + 1 ) ) x^2\frac{x^{4n}}{4^{\left(n+1\right)}}-2x\left(\frac{x^{4n}}{4^{\left(n+1\right)}}\right)+2\left(\frac{x^{4n}}{4^{\left(n+1\right)}}\right) x 2 4 ( n + 1 ) x 4 n − 2 x ( 4 ( n + 1 ) x 4 n ) + 2 ( 4 ( n + 1 ) x 4 n )
Resposta final para o problema
x 2 x 4 n 4 ( n + 1 ) − 2 x ( x 4 n 4 ( n + 1 ) ) + 2 ( x 4 n 4 ( n + 1 ) ) x^2\frac{x^{4n}}{4^{\left(n+1\right)}}-2x\left(\frac{x^{4n}}{4^{\left(n+1\right)}}\right)+2\left(\frac{x^{4n}}{4^{\left(n+1\right)}}\right) x 2 4 ( n + 1 ) x 4 n − 2 x ( 4 ( n + 1 ) x 4 n ) + 2 ( 4 ( n + 1 ) x 4 n )