Question

Fatore as expressões algébricas abaixo: a) 20x+4= B)7a-7c+am-cm= c) x2+ 2x+1= d)y2-5y= e) a3+ 3a2+2a+6= f) w2+ 12w+36= g)15 m+20= h) n3-n2+5n-5= i) 1-6d+9d2 j) 15a+45= k) 5ax+ax+5y+ay= l) 36a2-12ac+c2=

Answer 1

a) 20x+4= 4(5x +1 )
B)7a-7c+am-cm= 7(a-c) + m(a-c) ==> (7+m)(a-c)
c) x2+ 2x+1= (x+1)^2
d)y2-5y= y(y-5)
e) a3+ 3a2+2a+6= a2(a+3)+2(a+3) ==>(a2+2)(a+3)
f) w2+ 12w+36= (w+6)2
g)15 m+20=  5(3m + 4)
h) n3-n2+5n-5= n2(n-1) + 5(n-1) ==> (n2+5)(n-1)
i) 1-6d+9d2 = (1 - 3n)2
j) 15a+45= 15(a+3)
k) 5ax+ax+5y+ay= 6ax + 6ay ==> 6a( x + y ) 
l) 36a2-12ac+c2= (6a - c)2