Question

Calcule os quadrados.
a)(x + y)²
b)(a + 7)²
c)(3x + 1)²
d)(10x + y)²
e)(a + 3x)²
f)(5x² + 1)²
g)(xy + 5)²
coloca a conta por favor obg​

Answer 1

Temos que:

=> (a + b)² = a² + 2ab + b²

Calculando:

a) (x + y)²

=> (x)² + 2.(x).(y) + (y)²

=> x² + 2xy + y²

b) (a + 7)²

=> (a)² + 2.(a).(7) + (7)²

=> a² + 14a + 49

c) (3x + 1)²

=> (3x)² + 2.(3x).(1) + (1)²

=> 9x² + 6x + 1

d) (10x + y)²

=> (10x)² + 2.(10x).(y) + (y)²

=> 100x² + 20xy + y²

e) (a + 3x)²

=> (a)² + 2.(a).(3x) + (3x)²

=> a² + 6ax + 9x²

f) (5x² + 1)²

=> (5x²)² + 2.(5x²).(1) + (1)²

=> 25x⁴ + 10x² + 1

g) (xy + 5)²

=> (xy)² + 2.(xy).(5) + (5)²

=> x²y² + 10xy + 25