Question

1)Desenvolva algebricamente

a)(x+1)2

b)(2x+10)2

c)(xy+1/3)2

d)(x+5)2

POR FAVOR!!!!!!!!

Answer 1

1)Desenvolva algebricamente

PASSO a PASSO

a)(x+1)2

(x + 1)²

(x + 1)(x + 1) =

x.x. + x(1) + 1(x) + 1.1

x² + 1x + 1x + 1

x² + 2x + 1 assim

(x + 1)² = x² + 2x + 1

b)(2x+10)2

(2x + 10)²

(2x + 10)(2x + 10) =

2x(2x) + 2x(10) + 10(2x) + 10.10

4x² + 20x + 20x + 100

4x² + 40x + 100

assim

(2x + 1)² = 4x² + 40x + 100

c)(xy+1/3)2

(xy + 1/3)²

(xy + 1/3)(xy + 1/3) =

xy.xy + xy(1/3) + 1/3(xy) + 1/3.1/3

xxyy + xy(1)/3 + 1(xy)/3 + 1.1/3.3

x²y² + 1xy/3 + 1xy/3 + 1/9

x²y² + 2xy/3 + 1/9 mesmo que

x²y² + 2/3xy + 1/9

assim

(xy + 1/3)² = x²y² + 2/3xy + 1/9

d)(x+5)2

(x + 5)²

(x + 5)(x + 5) =

x.x + x(5) + 5(x) + 5.5

x² + 5x + 5x + 25

x² + 10x + 25

assim

(x + 5)² = x² + 10x + 25