Question

Efetue as expressões:
a) (x+7)2 b) (5+2m)2 c) (a+3x)2 d) (10x+y)2

Answer 1

Resposta:

Explicação passo a passo:

Efetue as expressões:

a) (x+7)2

(x +7)²   passo a passo

(x +7)(x + 7)

x(x) + x(7) + 7(x) + 7(7)

x²      + 7x    + 7x  +49

x² + 14x + 49

assim

(x +7)² = (x +7)(x + 7) = x² + 14x +49

b)

(5+2m)2

( 5 + 2m)²

( 5 + 2m)(5 +  2m)

5(5)+5(2m) + 2m(5) +2m(2m)

25  + 10m    + 10m   + 4m²

25 +20m + 4m²

assim

(5 + 2m)²= (5 +2m)( 5 + 2m) = 25 + 20m +  4m²

c)

(a+3x)2

(a + 3x)²

(a + 3x)(a + 3x)

a(a) + a(3x) +3x(a) + 3x(3x)

a²      + 3ax  + 3ax + 9x²

a² + 6ax + 9x²

(a + 3x)² = (a + 3x)(a +3x) = a² + 6ax + 9x²

d)

(10x+y)2

(10x + y)²

(10x + y)(10x + y)

10x(10x) + 10x(y) + y(10x) + y(y)

  100x²   + 10xy    +  10xy   + y²

100x² + 20xy + y²

assim

(10x+ y)² = (10x + y)(10x + y) = 100x² + 20xy + y²