Question

Me ajudem a responde-las

Answer 1

Explicação passo-a-passo:

1)

a)

= x²+10x+25

= x²+5x+5x+25

= x.(x+5) + 5.(x+5)

= (x+5).(x+5)

= (x+5)²

b)

x²-8x+16

= x²-4x-4x+16

= x.(x-4)-4.(x-4)

= (x-4).(x-4)

= (x-4)²

c)

4x²+4x+1

4x²+2x+2x+1

2x.(2x+1)+1.(2x+1)

(2x+1).(2x+1)

= (2x+1)²

d)

25y²-10y+1

= 25y² - 5y - 5y + 1

= 5y.(5y-1)-1.(5y-1)

= (5y-1).(5y-1)

= (5y-1)²

________________

2)

a)

(a+9)²

= a²+2.9.a+ 81

= a²+18a+81

b)

(5w-7z)²

= 25w² - 2.5w.7z + 49z²

= 25w² - 70wz + 49z²

c)

(b+c)²

= b²+ 2bc + c²

d)

(x+4)²

= x²+ 2.4.x + 16

= x²+8x+16

e)

(x-20)²

= x² - 2.20.x + 400

= x² - 40x + 400

___________________

3)

a)

x²-6400

= x² - 80²

= (x-80).(x+80)

b)

9y² - 25z²

= (3y)² - (5z)²

= (3y + 5z).(3y - 5z)

c)

16b² - a²

= (4b)² - a²

= (4b - a).(4b + a)

d)

x²-36

= x²-6²

= (x+6).(x-6)

e)

x²-y²

= (x+y).(x-y)

f)

100 - a²

10² - a²

= (10+a).(10-a)