\(5x\left(4x^2+2x+1\right)-2x\left(10x^2-5x-2\right)\)

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

\(=20x^2+9x\)

thay x = 15 ta được

\(20.15^2+9.15=4635\)

câu b tương tự

THay vào và tính bạn nhé

VICTOR_Nobita Kun ns như thật

Giải:

\(6xy\left(xy-y^2\right)-8x^2\left(x-y^2\right)+5y^2\left(x^2-xy\right)\)

\(=6xy^2\left(x-y\right)-8x^2\left(x-y^2\right)+5xy^2\left(x-y\right)\)

\(=11xy^2\left(x-y\right)-8x^2\left(x-y^2\right)\)

Thay x và y vào ta được:

\(11.\dfrac{1}{2}.2^2\left(\dfrac{1}{2}-2\right)-8\left(\dfrac{1}{2}\right)^2\left(\dfrac{1}{2}-2^2\right)\)

\(=22\left(\dfrac{-3}{2}\right)-2\left(\dfrac{-7}{2}\right)\)

\(=-33+14=-19\)

Vậy ...

Lời giải:
a.

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

$=9x=9.15=135$

b.

$B=(5x^2-20xy)-(4y^2-20xy)=5x^2-4y^2$

$=5(\frac{-1}{5})^2-4(\frac{-1}{2})^2=\frac{-4}{5}$

c.

$C=(6x^2y^2-6xy^3)-(8x^3-8x^2y^2)-(5x^2y^2-5xy^3)$

$=-8x^3+9x^2y^2-xy^3$

$=(-2x)^3+(3xy)^2-xy^3$

$=(-2.\frac{1}{2})^3+(3.\frac{1}{2}.2)^2-\frac{1}{2}.2^3$
$=(-1)^3+3^2-4=4$

Ta có: x = 9 => x - 9 = 0

\(Q\left(x\right)=x^{14}-10x^{13}+10x^{12}-10x^{11}+...+10x^2-10x+10\)

\(=x^{14}-9x^{13}-x^{13}+9x^{12}+x^{12}-9x^{11}+...-x^3+9x^2+x^2-9x-x+9+1\)

\(=x^{13}\left(x-9\right)-x^{12}\left(x-9\right)+...-x^2\left(x-9\right)+x\left(x-9\right)-\left(x-9\right)+1\)

\(=0+1=1\)

\(A=6xy\left(xy-y^2\right)-8x^2.\left(x-y^2\right)+5y^2\left(x^2-xy\right)\)

\(A=6x^2y^2-6xy^3-8x^3+8x^2y^2+5y^2x^2-5xy^3\)

\(A=19x^2y^2-11xy^3-8x^3\)

Tại x=1/2, y=2

\(A=19.\frac{1}{4}.2^2-11.\frac{1}{2}.2^3-8\left(\frac{1}{2}\right)^3=19-44-1=-26\)

Q(x) có thể làm như sau:

Vì x=9 nên x+1 = 10

Thay 10=x+1 ta có

\(Q\left(x\right)=x^{14}-\left(x+1\right).x^{13}+\left(x+1\right).x^{12}-\left(x+1\right).x^{11}+...+\left(x+1\right).x^2-\left(x+1\right)x+x+1\)

\(Q\left(x\right)=x^{14}-x^{14}-x^{13}+x^{13}+x^{12}-x^{12}-x^{11}+...+x^2-x^2-x+x+1\)

Q(x) = 1