Question

a) (3a – 1)²=                  
b) (3m – 5n)² =
c) (2x – 3y)² =                                                           d) (a²– b³)² =
e) (3x³ – y²)² =                                                           f) (5ab – 1)²=
g) (ab2 – a²b² =
h) (x²y – xy²)²=
i) (3x² – y²) =

ME AJUDEM ​

Answer 1

Resposta:

Explicação passo a passo:

A) (3a – 1)²=

= 9a^2 - 2.1.3a + 1

= 9a^2 - 6a + 1

________________

b) (3m – 5n)² =

= 9m^2 - 2.3m.5n + 25n^2

= 9m^2 - 30mn + 25n^2

_____________

c) (2x – 3y)² =

= 4x^2 - 2.2x.3y + 9y^2

= 4x^2 - 12xy + 9y^2

____________

d) (a²– b³)² =

= a^4 - 2a^2.b^3 - b^6

_____________

e) (3x³ – y²)² =

= 9x^6 - 2.3x^3.y² - y^4

= 9x^6 - 6x^3.y^2 - y^4

______________

f) (5ab – 1)²=

= 25a²b² - 2.1.5ab + 1

= 25a²b² - 10ab + 1

_______________

g) (ab² – a²b²)²

= a^2.b^4 - 2.ab^2.a^2.b^2 + a^4.b^4

= a^2.b^4 - 2.a^3.b^4 + a^4.b^4

_____________

h) (x²y – xy²)²=

x^4.y^2 - 2.x^2.y . xy^2 + x^2.y^4

= x^4.y^2 - 2.x^3.y^3 + x^2.y^4

_____________

i) (3x² – y²) ² =

= 9x^4 - 2.3x².y² + y^4

= 9x^4 - 6x²y² + y^4

_______________