Question

fatore as expressões
a)6x² - 5x²
b)4x - 3x + 6x
c) 6x - 8y - 10z
d)7q² - 2z
e) 33x 22y - 55y
f) x elevado a 6 + x² + x elevado a oito
g)36cd + 6cd²
h)40z + 12rt
i) 3a + 3c
7 7
j) 2x³y² + 4 elevado a 4 y
k)xy + xz
l)9x - 18
m)2y + 2
n) 3x elevado a 5 + 6x elevado a 5 - 24x

Answer 1

a)
= 6x² - 5x²
 = x²
--------------------------
b)
= 4x - 3x + 6x
= x + 6x
 = 7x
-----------------------------------
c)
= 6x - 8y - 10z
= 2(3x - 4y - 5z)
-----------------------------------
d)
7q² - 2z
= 7q² - 2z
------------------------------------------------------
e)
= 33x + 22y - 55y
= 11(3x + 2y - 5y)

= 33x - 22y - 55y
= 11(3x - 2y - 5y)
--------------------------------------------------
f) x elevado a 6 + x² + x elevado a oito

= x⁶ + x² + x⁸
= x²(x⁴ + 1 + x⁶)
------------------------------------------------
g)
= 36cd + 6cd²
= 6cd(6 + d)
---------------------------------------
h)
= 40z + 12rt  
=  4(10z + 3rt)

40,12: 2
20,6: 2
10,3: 2
5,3: 3
5,1: 5
1,1       =  mdc = 2.2 = 4
================================

i)
3a + 3c  =   3 . (a+ c)
7       7        7
=============================
j)
= 2x³y² + 4⁴y
= 2x³y² + 256y
= 2y(x³y + 128)
------------------------------------------
k)
= xy + xz
= x(y + z)
-------------------------------------
l)
= 9x - 18
= 9(x - 2)
------------------------------------
m)
= 2y + 2
= 2(y + 1)
------------------------------
n)
3x elevado a 5 + 6x elevado a 5 - 24x

= 3x⁵ + 6x⁵ - 24x
= 9x⁵ - 24x
= 3x.(3x⁴ - 8)