Ta có: \(2x\left(10x^2-5x-2\right)-5x\left(4x^2-2x-1\right)\)

\(=20x^3-10x^2-4x-20x^2+10x^2+5x\)

=x

=-5

2x(10x²-5x-2)-5x(4x²-2x-1)

=20x^3-10x^2-4x-20x^3+10x^2+5x

=x

TĐBcó: x=-5

Vậy........

$D\,=2x(10x^2-5x-2)-5x(4x^2-2x-1)\\\quad =20x^3-10x^2-4x-20x^3+10x^2+5x\\\quad =(20x^3-20x^3)+(-10x^2+10x^2)+(-4x+5x)\\\quad =x$

Thay $x=-5$ vào $D=x$

$\Rightarrow D=-5$

Vậy $D=-5$ với $x=-5$

Ta có: \(D=2x\left(10x^2-5x-2\right)-5x\left(4x^2-2x-1\right)\)

\(=20x^3-10x^2-4x-20x^2+10x^2+5x\)

=x=-5

`5x(4x^2-2x+1)-2x(10x^2-5x-2)`

`= 20x^3-10x^2+5x - (20x^3-10x^2-4x)`

`=9x`

Thay `x=15` có: `9.15=135`.

P = 5x ( 4x2 - 2x + 1 ) - 2x ( 10x2 - 5x - 2 )

P = 20x3 - 10x2 + 5x - 20x3 + 10x2 + 4x

P = 5 x + 4x = 9x

Thay x vào biểu thúc ta có :

9 . 15 = 135

Vậy giá trị của biểu thức là 135 khi x = 15

p=135

cái đồ copy

\(\begin{array}{l}a){\rm{ }}3{x^2}-{\rm{ }}3x\left( {x{\rm{ }}-{\rm{ }}2} \right){\rm{ }} = {\rm{ }}36\\ \Leftrightarrow 3{x^2}-{\rm{ [}}3x.x + 3x.( - 2)] = 36\\ \Leftrightarrow 3{x^2} - (3{x^2} - 6x) = 36\\ \Leftrightarrow 3{x^2} - 3{x^2} + 6x = 36\\ \Leftrightarrow 6x = 36\\ \Leftrightarrow x = 36:6\\ \Leftrightarrow x = 6\end{array}\)

Vậy x = 6

\(\begin{array}{l}b){\rm{ }}5x\left( {4{x^2}-{\rm{ }}2x{\rm{ }} + {\rm{ }}1} \right){\rm{ }}-{\rm{ }}2x\left( {10{x^2}-{\rm{ }}5x{\rm{ }} + {\rm{ }}2} \right){\rm{ }} = {\rm{ }} - 36\\ \Leftrightarrow 5x.4{x^2} + 5x.( - 2x) + 5x.1 - [2x.10{x^2} + 2x.( - 5x) + 2x.2] =  - 36\\ \Leftrightarrow 20{x^3} - 10{x^2} + 5x - (20{x^3} - 10{x^2} + 4x) =  - 36\\ \Leftrightarrow 20{x^3} - 10{x^2} + 5x - 20{x^3} + 10{x^2} - 4x =  - 36\\ \Leftrightarrow (20{x^3} - 20{x^3}) + ( - 10{x^2} + 10{x^2}) + (5x - 4x) =  - 36\\ \Leftrightarrow x =  - 36\end{array}\)

Vậy x = -36

Bài 1:

\(a,6x^2-15x^3y\\ b,=-\dfrac{2}{3}x^2y^3+\dfrac{2}{3}x^4y-\dfrac{8}{3}xy\)

Bài 2:

\(a,=20x^3-10x^2+5x-20x^3+10x^2+4x=9x\\ b,=3x^2-6x-5x+5x^2-8x^2+24=24-11x\\ c,=x^5+x^3-2x^3-2x=x^5-x^3-2x\)

câu d của bài 2 là của bài 1 nha mình để nhầm chỗ huhu

\(a,\Leftrightarrow\left[{}\begin{matrix}x+5=0\\2x+1=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=-5\\x=-\dfrac{1}{2}\end{matrix}\right.\\ b,\Leftrightarrow\left(x+2\right)\left(x-3\right)=0\Leftrightarrow\left[{}\begin{matrix}x=-2\\x=3\end{matrix}\right.\\ c,\Leftrightarrow2x^2-10x-3x-2x^2=26\\ \Leftrightarrow-13x=26\Leftrightarrow x=-2\\ d,\Leftrightarrow x^2-18x+16=0\\ \Leftrightarrow\left(x^2-18x+81\right)-65=0\\ \Leftrightarrow\left(x-9\right)^2-65=0\\ \Leftrightarrow\left(x-9+\sqrt{65}\right)\left(x-9-\sqrt{65}\right)=0\\ \Leftrightarrow\left[{}\begin{matrix}x=9-\sqrt{65}\\9+\sqrt{65}\end{matrix}\right.\)

\(e,\Leftrightarrow x^2-10x-25=0\\ \Leftrightarrow\left(x-5\right)^2-50=0\\ \Leftrightarrow\left(x-5-5\sqrt{2}\right)\left(x-5+5\sqrt{2}\right)=0\\ \Leftrightarrow\left[{}\begin{matrix}x=5+5\sqrt{2}\\x=5-5\sqrt{2}\end{matrix}\right.\\ f,\Leftrightarrow5x\left(x-1\right)-\left(x-1\right)=0\\ \Leftrightarrow\left(x-1\right)\left(5x-1\right)=0\Leftrightarrow\left[{}\begin{matrix}x=1\\x=\dfrac{1}{5}\end{matrix}\right.\\ g,\Leftrightarrow2\left(x+5\right)-x\left(x+5\right)=0\\ \Leftrightarrow\left(2-x\right)\left(x+5\right)=0\\ \Leftrightarrow\left[{}\begin{matrix}x=2\\x=-5\end{matrix}\right.\\ h,\Leftrightarrow x^2+2x+3x+6=0\\ \Leftrightarrow\left(x+3\right)\left(x+2\right)=0\Leftrightarrow\left[{}\begin{matrix}x=-3\\x=-2\end{matrix}\right.\\ i,\Leftrightarrow4x^2-12x+9-4x^2+4=49\\ \Leftrightarrow-12x=36\Leftrightarrow x=-3\)

\(j,\Leftrightarrow x^2\left(x+1\right)+\left(x+1\right)=0\Leftrightarrow\left(x^2+1\right)\left(x+1\right)=0\\ \Leftrightarrow\left[{}\begin{matrix}x^2=-1\left(vô.lí\right)\\x=-1\end{matrix}\right.\Leftrightarrow x=-1\\ k,\Leftrightarrow x^2\left(x-1\right)=4\left(x-1\right)^2\\ \Leftrightarrow x^2\left(x-1\right)-4\left(x-1\right)^2=0\\ \Leftrightarrow\left(x-1\right)\left(x^2-4x+4\right)=0\\ \Leftrightarrow\left(x-1\right)\left(x-2\right)^2=0\\ \Leftrightarrow\left[{}\begin{matrix}x=1\\x=2\end{matrix}\right.\)

a, 5x(x-2) + (2-x)=0
⇔5x(x-2) - (x-2) =0
⇔(x-2)(5x-1)=0
\(\left[{}\begin{matrix}x-2=0\\5x-1=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=2\\x=\frac{1}{5}\end{matrix}\right.\)
Vậy....
c, (x³ - x²) - 4x² + 8x -4 =0
⇔x³ - x² -4x² + 8x - 4=0
⇔x²(x-1) - 4x(x-1) +4(x-1) =0
⇔(x-1) (x-2)²=0
⇔\(\left[{}\begin{matrix}x-1=0\\\left(x-2\right)^2=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=1\\x=2\end{matrix}\right.\)
Vậy...
Phần b cậu có chép sai đề không?