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Lời giải:
a.
$=(5x^2+5xy)+(10x+10y)=5x(x+y)+10(x+y)$
$=(x+y)(5x+10)=5(x+y)(x+2)$
b. Biểu thức không phân tích được thành nhân tử.
![](https://rs.olm.vn/images/avt/0.png?1311)
1: \(100-x^2=\left(10-x\right)\left(10+x\right)\)
2: \(b^2-a^2=\left(b-a\right)\left(b+a\right)\)
3: \(\left(3y\right)^2-\left(4x\right)^2=\left(3y-4x\right)\left(3y+4x\right)\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\dfrac{1-2x+3+2y+2x-4}{6xy}=\dfrac{2y}{6xy}=\dfrac{1}{3x}\)
\(\dfrac{3+2x-3-4x}{6x}=\dfrac{-2x}{6x}=-\dfrac{1}{3}\)
\(\dfrac{\left(1-2x\right)2xy}{6xy.3.\left(1-2x\right)}=\dfrac{2xy}{18xy}=\dfrac{1}{9}\)
chi tiết rùi k ghi lại đề thui
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
Bài 5:
a: 2x-(3-5x)=4(x+3)
=>2x-3+5x=4x+12
=>7x-3=4x+12
=>3x=15
=>x=5
b: =>5/3x-2/3+x=1+5/2-3/2x
=>25/6x=25/6
=>x=1
c: 3x-2=2x-3
=>3x-2x=-3+2
=>x=-1
d: =>2u+27=4u+27
=>u=0
e: =>5-x+6=12-8x
=>-x+11=12-8x
=>7x=1
=>x=1/7
f: =>-90+12x=-45+6x
=>12x-90=6x-45
=>6x-45=0
=>x=9/2
![](https://rs.olm.vn/images/avt/0.png?1311)
\(=\left(3ay-15by\right)+\left(ax-5bx\right)=3y\left(a-5b\right)+x\left(a-5b\right)=\left(3y+x\right)\left(a-5b\right)\)
![](https://rs.olm.vn/images/avt/0.png?1311)
ĐKXĐ: \(x\ne\pm2\)
\(\dfrac{2}{x-2}+\dfrac{3}{x+2}+\dfrac{18-5x}{4-x^2}=\dfrac{2\left(x+2\right)}{\left(x-2\right)\left(x+2\right)}+\dfrac{3\left(x-2\right)}{\left(x-2\right)\left(x+2\right)}+\dfrac{5x-18}{\left(x-2\right)\left(x+2\right)}\)
\(=\dfrac{2x+4+3x-6+5x-18}{\left(x-2\right)\left(x+2\right)}\)
\(=\dfrac{10x-20}{\left(x-2\right)\left(x+2\right)}=\dfrac{10\left(x-2\right)}{\left(x-2\right)\left(x+2\right)}\)
\(=\dfrac{10}{x+2}\)