\(3x\left(x+1\right)-2x\left(x+1\right)=-x-1\)

\(\Leftrightarrow\left(x+1\right)\left(3x-2x\right)=-\left(x+1\right)\)

\(\Leftrightarrow\left(x+1\right)x+\left(x+1\right)=0\)

\(\Leftrightarrow\left(x+1\right)^2=0\)

\(\Leftrightarrow x+1=0\)

\(\Leftrightarrow x=-1\)

(4x⁴ + 12x²y² + 9y⁴) : (2x² + 3y²)

= (2x² + 3y²)² : (2x² + 3y²)

= 2x² + 3y²

\(5a^2+5ab-a-b\\ =5a\left(a+b\right)-\left(a+b\right)\\ =\left(a+b\right)\left(5a-1\right)\)

Có thể vẽ hình cho em được không ạ 

\(\left(2x+3\right)^2-4x^2=10\\ \Leftrightarrow\left(4x^2+12x+9\right)-4x^2=10\\ \Leftrightarrow4x^2-4x^2+12x=10-9\\ \Leftrightarrow12x=1\\ \Leftrightarrow x=\dfrac{1}{12}\)

\(\left(x+1\right)^2-3\left(x+1\right)=\left(x+1\right)\left(x+1-3\right)=\left(x+1\right)\left(x-2\right)\)

\(2x\left(x-2\right)-\left(x-2\right)^2=\left(x-2\right)\left[2x-\left(x-2\right)\right]=\left(x-2\right)\left(2x-x+2\right)=\left(x-2\right)\left(x+2\right)\)

\(4x^2-20xy+25y^2=\left(2x\right)^2-2.2x.5y+\left(5y\right)^2=\left(2x-5y\right)^2\)

\(x^2+3x-x-3=x\left(x+3\right)-\left(x+3\right)=\left(x-1\right)\left(x+3\right)\)

\(x^2-xy+x-y=x\left(x-y\right)+\left(x-y\right)=\left(x-y\right)\left(x+1\right)\)

\(2y\left(x+2\right)-3x-6=2y\left(x+2\right)-3\left(x+2\right)=\left(x+2\right)\left(2y-3\right)\)

`a, 8xy^2-2x^2y`

`= 2xy ( 4y - x)`

`b, x(x-y) -y(y-x)`

`= x(x-y) + y(x-y)`

`= (x-y)(x+y)`

`c, x(x-1) + (1-x)^2`

`= x(x-1)+(x-1)^2`

`= (x-1) (x+x-1)`

`=(x-1)(2x-1)`