Question

Qual a resolução de (3x-1)⁴

Answer 1

Resposta:

(3x-1)⁴ = 81x^4 - 108x^3 + 54x^2 - 12x + 1

Answer 2

Resposta:

81x^4 - 108x^3 + 54x^2 - 2x + 1

Explicação passo-a-passo:

( 3x - 1 )^4

= [ ( 3x - 1 )^2 ]^2

( 3x - 1 )^2

= ( 3x )^2 + 1^2 - 2 ( 3x ) ( 1 )

= 9x^2 + 1 - 6x

[ ( 3x - 1 )^2 ]^2

= [ 9x^2 + 1 - 6x ]^2

= ( 9x^2 )^2 + 1^2 + ( - 6x )^2 +

2 ( 9x^2 ) ( 1 ) + 2 ( 1 ) ( - 6x ) + 2 ( - 6x ) ( 9x^2 )

= 81x^4 + 1 + 36x^2 + 18x^2 + ( - 2x ) + ( - 108x^3 )

= 81x^4 - 108x^3 + 36x^2 + 18x^2 - 2x + 1

= 81x^4 - 108x^3 + 54x^2 - 2x + 1