Question

01) Desenvolva algebricamente cada quadrado da soma de dois termos.
a) (x+2)^2=
b) (x+8)^2=
c)(x+3)^2=
d)(2m+2n)^2 =
e)(x+4)^2 =
f)(4x+3)^2=
g)(2x+1)^2=
h)(2x+7)^2=​

Answer 1

Explicação passo-a-passo:

a)

(x+2)² =[(x)²+2 *x* 2 + (2)² ] = x² + 4x + 4 >>>>

b)

(x+8)² =[( x)² + 2 * x * 8 + ( 8)² ] = x² + 16x +64 >>>>

c)

(x+3)² = [ ( x)² + 2 * x * 3 + (3)² ]= x² +6x + 9 >>>>

d)

(2m+2n)² = [ ( 2m)² + 2 * 2m * 2n + (2n)²]= 4m² + 8mn + 4n² >>>

e)

(x+4)² = [ ( x )² + 2 * x * 4 + ( 4 )² ] = x² + 8x + 16 >>>>

f)

(4x+3)²= [ ( 4x)² + 2 * 4x* 3 +( 3)²] = 16x² + 24x + 9 >>>>

g)

(2x+1)² = [ (2x)² + 2 * 2x * 1 + (1)²] = 4x² + 4x + 1 >>>>>

h)

(2x+7)² =​ [ ( 2x)² + 2 * 2x * 7 + ( 7)² ] = 4x² + 28x + 49 >>>>