Question

5) Desenvolva e reduza:
a) (2x - 3)2 - 4(x - 1).(x+1)+5 c) (5x + 2) - (5x - 2)2 = (5x + 2).(5x - 2)
b) (1 + x)2 + (1 - x) + (-1 + x)2 + (-1 - x) d)(x+)(x - ) - (1 - x)²
6) Fatore as expressões:
a) 7a+ 7b d) 8x - 72x g) ax + ay
1) 7x + x2
b) a – a ) 3a – 36 + 6 h) x + 6x
k) 4x + 8y - 12²
c) 2x - 3xy )x - 5x +x
D ) 10x + x
l) 3x² + 12x + 15x^7

Answer 1

Explicação passo-a-passo:

5) Desenvolva e reduza:

a) (2x - 3)² - 4(x - 1).(x+1)+5 =

4x²-12x+9-4x²-4x+4x+4+5=

-12x+18

c) (5x + 2)² - (5x - 2)² - (5x + 2).(5x - 2)=

25x²+20x+4 -25x²+20x-4-25x²-4=

-25x²+40x-4

b) (1 + x)² + (1 - x)² + (-1 + x)² + (-1 - x)²=

1+2x+x²+1-2x+x²+1-2x+x²+1+2x+x²=

4x²+4

d)(x+1/2)(x - 1/2) - (1 - x)²=

x²-1/4-1+2x-x²=

2x-3/4

6) Fatore as expressões:

a) 7a+ 7b =7(a+b)

d) 8x² - 72x = 8x(x-9)

g) ax + ay =a(x+y)

1) 7x + x² = x(7+x)

b) a3 – a2 = a²(a-1)

e ) 3a – 3b + 6 =3(a-b+2)

h) x3 + 5x=x(x²+5)

k) 4x + 8y - 12z=4(x+2y-3z)

c) 2x - 3xy =x(2-3y)

f)x² - 5x4 +x6=x²(1-5x²+x4)

D ) 10x5 + x=x(10x4+1)

l) 3x² + 12x5 + 15x7=x²(3+12x3+15x5)