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c.
\(4y^2+1=4y\)
\(\Leftrightarrow4y^2-4y+1=0\)
\(\Leftrightarrow4y^2-2y-2y+1=0\)
\(\Leftrightarrow2y\left(2y-1\right)-\left(2y-1\right)=0\)
\(\Leftrightarrow\left(2y-1\right)^2=0\)
\(\Leftrightarrow y=0\)
d.
\(y^2-2y=80\)
\(\Leftrightarrow y^2-2y-80=0\)
\(\Leftrightarrow y^2-10y+8y-80=0\)
\(\Leftrightarrow y\left(y-10\right)+8\left(y-10\right)=0\)
\(\Leftrightarrow\left(y+8\right)\left(y-10\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}y+8=0\\y-10=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}y=-8\\y=10\end{matrix}\right.\)
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Bài 1:
a, \(5x\left(x-2y\right)+2\left(2y-x\right)^2\)
\(=5x^2-10xy+2\left(4y^2-4xy+x^2\right)\)
\(=5x^2-10xy+8y^2-8xy+2x^2\)
\(=7x^2-18xy+8y^2\)
\(=7x^2-14xy-4xy+8y^2\)
\(=7x.\left(x-2y\right)-4y.\left(x-2y\right)=\left(x-2y\right).\left(7x-4y\right)\)
b, \(7x\left(y-4\right)^2-\left(4-y\right)^2\)
\(=7x.\left(y-4\right)^2-\left(y-4\right)^2\)
\(=\left(y-4\right)^2.\left(7x-1\right)\)
Chúc bạn học tốt!!!
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1, gọ̣̣i bthứ́c trên là A, ta có:
A=8y3-12y2+6y-1-2y*(4y2-12y+9)-12y2+12y
A=8y3-12y2+6y-1-8y3+24y2-18y-12y2+12y
A=-1
vây bthức A ko phu thuôc vào biến y
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a/ \(\left(x-2y\right)^2+3\left(x-2y\right)\left(x+2y\right)\)
\(=\left(x-2y\right)\left(x-2y+3x-6y\right)=\left(x-2y\right)\left(4x-8y\right)\)
\(=4\left(x-2y\right)\left(x-2y\right)=4\left(x-2y\right)^2\)
b/ \(\left(y^2+1\right)\left(y+2\right)-\left(y+2\right)\left(y^2-2y+4\right)\)
\(=y^3+2y^2+y+2-y^3-8\)
\(=2y^2+y-6=2y^2+4y-3y-6\)
\(=\left(y+2\right)\left(2y-3\right)\)
riêng câu b mình có sửa đề lại, bn xem có đúng hong nha. Chúc bn hc tốt nhé ^^
`y^2 -2y=80`
`<=> y^2 -2y -80=0`
`<=>y^2 +8y-10y-80=0`
`<=>(y^2+8y)-(10y+80)=0`
`<=> y(y+8) - 10(y+8)=0`
`<=>(y+8)(y-10)=0`
\(\Leftrightarrow\left[{}\begin{matrix}y+8=10\\y-10=0\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}y=-8\\y=10\end{matrix}\right.\)