phân tích đa thức thành nhân tử
-4a-8b-12c
-5x-10xy-15y
ax+a
a-2ax-4ay
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1. = 2(a+b)
2. =2(a-b)
3.=2(a+2b-3c)
4.=3(a-2b-3c)
5.=-4(a+2b+3c)
6.=-5(x+2xy+3y)
7.=-7(a+2ab+3b)
8.=6(xy-2x-3y)
9.=8(xy-3y+2x)
10.=9(ab-2a+1)
Lần sau bn cần ghi đề rõ ràng hơn
11.=x(y-1)
12.=a(x+1)
13.=m(x+y+1)
14.=-a(x+y+1)
15.=-a(x2+x+1)
16.=-2a(x+2y)
17.=2a(x-y+1)
18.=2(2ax-ay-2)
19.=5a(1-2x-3)
20.=-2ab(a+2b+3)
a) =2(a+b)
b) =2(a-2b)
c) =2(a+2b-3c)
d) =3(a-2b+3c)
e)= -4(a+2b+3c)
f) =-5(x+2xy+3y)
g) =-7(a+2ab+3b)
h) = 6(xy-2x-3y)
k) = 8(xy-3y+2x)
n)=9(ab-2a+1)
\(ax^2-3axy+bx-3by\\ =x\left(ax+b\right)-3y\left(ax+b\right)\\ =\left(x-3y\right)\left(ax+b\right)\)
\(5x^2y+5xy^2-a^2x-a^2y\\ =5xy\left(x+y\right)-a^2\left(x+y\right)\\ =\left(5xy-a^2\right)\left(x+y\right)\)
\(2ax^3+6ax^2+6ax+18a\\ =2ax^2\left(x+3\right)+6a\left(x+3\right)\\ =2a\left(x^2+3\right)\left(x+3\right)\)
\(10xy^2-5by^2+2ax-ab\\ =5y^2\left(2x-b\right)+a\left(2x-b\right)\\ =\left(5y^2+a\right)\left(2x-b\right)\)
\(ax-bx+cx-3a+3b-3c\\ =x\left(a-b+c\right)-3\left(a-b+c\right)\\ =\left(x-3\right)\left(a-b+c\right)\)
\(ax^2+a-axy+2ax-ay\)
\(a\left(x^2+2x+1\right)-ay\left(x+1\right)\)
\(a\left(x+1\right)^2-ay\left(x+1\right)\)
\(\left(x+1\right)\left[a\left(x+1\right)-ay\right]\)
\(\left(x+1\right)\left(ax+a-ay\right)\)
\(a\left(x+1\right)\left(x+1-y\right)\)
5x2 + 10xy - 4x - 8y
= 5x(x + 2y) - 2(x - 2y)
= (5x - 2)(x + 2y)
=(5x2 + 10xy) - (4x + 8y) = 5x.(x + 2y) - 4.(x + 2y) = (5x - 4).(x + 2y)
a: \(x^2-6x+5=\left(x-5\right)\left(x-1\right)\)
b: \(x^2-x-12=\left(x-4\right)\left(x+3\right)\)
c: \(x^2+8x+15=\left(x+5\right)\left(x+3\right)\)
d: \(2x^2-5x-12=\left(x-4\right)\left(2x+3\right)\)
e: \(x^2-13x+36=\left(x-9\right)\left(x-4\right)\)
Bài làm :
+) \(-4a-8b-12c\)
\(=-4\left(a+2b+3c\right)\)
+) \(-5x-10xy-15y=-5\left(x+2xy+3y\right)\)
+) \(ax+a=a\left(x+1\right)\)
+) \(a-2ax-4ay=-a\left(1+2x+4y\right)\)