Bài 1:
a) \(=10x\left(x+y\right)+5\left(x+y\right)=5\left(x+y\right)\left(2x+1\right)\)
b) \(=a\left(5y+x\right)-3b\left(5y+x\right)=\left(5y+z\right)\left(a-3b\right)\)
c) \(=x^2\left(x+1\right)-\left(x+1\right)=\left(x+1\right)\left(x^2-1\right)\)
\(=\left(x+1\right)\left(x+1\right)\left(x-1\right)=\left(x+1\right)^2\left(x-1\right)\)
Bài 2:
a) \(\Rightarrow\left(x-2\right)\left(x+1\right)=0\)
\(\Rightarrow\left[{}\begin{matrix}x=2\\x=-1\end{matrix}\right.\)
b) \(\Rightarrow x^2\left(x+1\right)+\left(x+1\right)=0\)
\(\Rightarrow\left(x+1\right)\left(x^2+1\right)=0\)
\(\Rightarrow x=-1\)(do \(x^2+1>0\))
c) K hiểu đề lắm
d) \(\Rightarrow2x\left(3x-5\right)+2\left(3x-5\right)=0\)
\(\Rightarrow2\left(3x-5\right)\left(x+1\right)=0\)
\(\Rightarrow\left[{}\begin{matrix}x=\dfrac{5}{3}\\x=-1\end{matrix}\right.\)
