2.a) \(8x^2-4x=0\Rightarrow4x\left(2x-1\right)=0\\ \Rightarrow\left[{}\begin{matrix}4x=0\\2x-1=0\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=0\\x=\dfrac{1}{2}\end{matrix}\right.\)

b) \(5x\left(x-3\right)+7\left(x-3\right)=0\Rightarrow\left(x-3\right)\left(5x+7\right)=0\\ \Rightarrow\left[{}\begin{matrix}x-3=0\\5x+7=0\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=3\\x=-1.4\end{matrix}\right.\)

c) \(2x^2=x\Rightarrow2x^2-x=0\Rightarrow x\left(2x-1\right)=0\\ \Rightarrow\left[{}\begin{matrix}x=0\\2x-1=0\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=0\\x=0.5\end{matrix}\right.\)

d) \(x^3=x^5\Rightarrow x^3-x^5=0\Rightarrow x^3\left(1-x^2\right)=0\\ \Rightarrow x^3\left(1-x\right)\left(1+x\right)=0\Rightarrow\left[{}\begin{matrix}x^3=0\\1-x=0\\1+x=0\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=0\\x=1\\x=-1\end{matrix}\right.\)

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

\(\Rightarrow\left(x+1\right)\left(x^2+2x\right)=0\Rightarrow\left(x+1\right)x\left(x+2\right)=0\\ \Rightarrow\left[{}\begin{matrix}x=0\\x+1=0\\x+2=0\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=0\\x=-1\\x=-2\end{matrix}\right.\)

g. \(x\left(2x-3\right)-2\left(3-2x\right)=0\)

\(\Rightarrow x\left(2x-3\right)+2\left(2x-3\right)=0\\ \Rightarrow\left(2x-3\right)\left(x+2\right)=0\\ \Rightarrow\left[{}\begin{matrix}2x-3=0\\x+2=0\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=1.5\\x=-2\end{matrix}\right.\)

1/Tự chép lại đb nha :v

 =a² - 9b²+2ab+3a²-8b²-12ab+6ab-3b²-2a²+ab

= 2a²-3ab-20b²

= (2a²+5ab) - (8ab+20b²)

= a(2a+5b) - 4b(2a+5b)

=(2a+5b)(a-4b)

câu 2 tương tự nhé :)

1, \(a.\left(b+c\right)+3b+3c=a.\left(b+c\right)+3.\left(b+c\right)\)= \(\left(b+c\right).\left(3+a\right)\)

2, \(a.\left(m-n\right)+\left(m-n\right)=\left(m-n\right).\left(a+1\right)\)

3, \(7a^2-7ax-9a+9x=7a.\left(a-x\right)-9.\left(a-x\right)\)= \(\left(a-x\right).\left(7a-9\right)\)

4, \(4x+by+4y+bx=4.\left(x+y\right)+b.\left(x+y\right)\)= \(\left(x+y\right).\left(4+b\right)\)

5, \(ay-ax-2x+2y=a.\left(y-x\right)+2.\left(y-x\right)\)= \(\left(y-x\right).\left(a+2\right)\)

    Chúc bạn học tốt. Có gì không hiểu thì chat hỏi mik nhé. ^^

thank bn nhiều nha

1. a(b+c)+3b+3c=a(b+c)+3(b+c)=(b+c)(a+3)

2.a(m-n)+(m-n)=(m-n)(a+1)

3. 7a² -7ax-9a+9x=7a(a-x)-9(a-x)=(a-x)(7w-9

4. 4x+by+4y+bx=(4x+4y)+(by+bx)

5. ay-ax-2x+2y=(ay+2y)-(ax+2x)=y(a+2)-x(a+2)=(a+2)(y-x)

chỉnh lại đề nè:không có chữ chung nhé

Mk mới lớp 7 thui nên mình ko làm đc bài này.

a: =x^2+2xy+y^2-4x^2y^2

=(x+y)^2-(2xy)^2

=(x+y+2xy)(x+y-2xy)

b: =49-(a^2-2ab+b^2)

=49-(a-b)^2

=(7-a+b)(7+a-b)

c: =\(a^2-\left(b^2-4bc+4c^2\right)\)

\(=a^2-\left(b-2c\right)^2=\left(a-b+2c\right)\left(a+b-2c\right)\)

d: 

\(=\left(bc\right)^2-\left(b^2+c^2-a^2\right)^2\)

\(=\left(bc-b^2-c^2+a^2\right)\left(bc+b^2+c^2-a^2\right)\)

e: \(=\left(a+b\right)^2+2c\left(a+b\right)+c^2+\left(a+b\right)^2-2c\left(a+b\right)+c^2-4c^2\)

=2(a+b)^2-2c^2

=2[(a+b)^2-c^2]

=2(a+b-c)(a+b+c)