Question

Preciso de ajuda para resolver as fatorações.
a) 49x²-14x +1=
b) 25h³-20h⁴ +15h⁵=
c) a⁴ + 2a²b² + b⁴=
d) 25x² -70x + 49=
e) 2ax+ 3a + 4bx + 6b=
f) ax - 2a + x-2=

Answer 1

a) 49x²- 14x + 1 =

b² - 4ac
-14² -4.49.1 
196 - 196
delta = 0

-b +/- √Δ / 2a
-(-14) +/- √0 / 2.49
14 +/- 0 / 98

x1 = 14+0/98 = 14/98 = 1/7
x2 = 14-0/98  = 14/98 = 1/7

49x²- 14x + 1 =
(x-1/7).(x-1/7) = (x -1/7)²      
_____________________________
b)25h³ - 20h⁴ + 15h⁵ =
5h³(5 - 4h + 3h²)
______________________________
c) a⁴ + 2a²b² + b⁴ = 
(a² + b²)².
_______________________________
d)25x² - 70x + 49 = 

b² - 4ac 
-70² - 4.25.49 =
4900 - 4900
Delta = 0

-b +/- √Δ / 2a
-(-70) +/- √0 / 2.25
70 +/- 0 / 50

x1 = 70+0/50 = 70/50 = 7/5
x2 = 70-0/50 = 70/50 = 7/5

25x² -70x + 49=
(x - 7/5)(x- 7/5)
____________________________
e)2ax+ 3a + 4bx + 6b=
2x(a + 2b) + 3( a + 2b) = 
(2x + 3) ( a + 2b) 
_____________________________
f) ax - 2a + x - 2 = 
ax + x - 2a - 2 = 
x( a + 1) - 2 ( a +1) = 
(x - 2) (a + 1) 

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