Question

Exercicios
1) Calcule o quadrado da soma de dois termos.
a) (m+n) ²
b) (2a+b)² =
c)(a + 5x)²=
d) (a + 2y) ²=
e)(x+2)²=
f(a² + b² ) ²=
g) (ab + c)²=
h)(a² + 2x)=
i)(2x + 3)² =
j(3m²x + 5a²y)²=​

Answer 1

Resposta:

Explicação passo-a-passo:

1) Calcule o quadrado da soma de dois termos.

a) (m+n)²

= m² + 2.m.n+ n²

= m² + 2mn+ n²

__________

b) (2a+b)²

= (2a)² + 2a.b + b²

= 4a² + 2ab + b²

__________

c)(a + 5x)²

= a² + 2.a.5x + (5x)²

= a² + 10ax + 25x²

___________

d) (a + 2y) ²

= a² +2.a.2y + (2y)²

= a² + 4ay + 4y²

___________

e)(x+2)²

= x² + 2.2.x + 2²

= x² + 4x + 4

____________

f(a² + b² ) ²

= a^4 + 2a²b² + b^4

___________

g) (ab + c)²

= (ab)² + 2.ab.c + c²

= a²b² + 2abc + c²

_____________

h)(a² + 2x)²

= (a²)² + 2.a².2x + (2x)²

= a^4 + 4a²x + 4x²

____________

i)(2x + 3)²

= (2x)² + 2.2x.3 + 3²

= 4x² + 12x + 9

___________

j(3m²x + 5a²y)²

= ( 3m²x)² + 2.3m²x . 5a²y  + (5a²y)²

= 9m^4.x² + 30m².a².xy + 25a^4.y²