Giúp mình với ạ tại xíu nữa mình phải đi học
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\(A=-x^2+2xy-4y^2+x-10y-8\)
=> \(-4A=4x^2-8xy+16y^2-4x+40y+32\)
\(=\left(4x^2-8xy+4y^2\right)-\left(4x-4y\right)+1+12y^2+36y+31\)
\(=\left(2x-2y\right)^2-2\left(2x-2y\right)+1+3\left(4y^2+2.2y.3+9\right)+4\)
\(=\left(2x-2y+1\right)^2+3\left(2y+3\right)^2+4\ge4\)
=> \(A\le4:-4=-1\)
"=" xảy ra <=> \(\hept{\begin{cases}2x-2y+1=0\\2y+3=0\end{cases}\Leftrightarrow}\hept{\begin{cases}y=-\frac{3}{2}\\x=2\end{cases}}\)
Vậy max A=-1 <=> x=2 y=-3/2
Câu b em làm tương tự nhé!
câu a ) a*x^19+1
câu b )
đa thức chia có bậc 2 nên đa thức dư có bậc không quá 1. vậy đa thức dư có bậc nhất dạng ax+b
Ta có: x67+x47+x27+x7+x+1=(x2−1).Q(x)+ax+bx67+x47+x27+x7+x+1=(x2−1).Q(x)+ax+b
Cho x=1 rồi x=-1 ta được: \hept{1+1+1+1+1+1=a+b−1−1−1−1−1+1=−a+b\hept{1+1+1+1+1+1=a+b−1−1−1−1−1+1=−a+b
⇔\hept{a+b=6−a+b=−4⇔\hept{a=5b=1⇔\hept{a+b=6−a+b=−4⇔\hept{a=5b=1
Vậy dư trong phép chia trên là 5x+1
1 Life in the country is not as good as life in the city
2 These room are cleaned every evening
3 Would you mind decorating the christmas tree
4 It's the first time I have talked to the headmaster
V
1 have ever met
2 worked
3 reading
4 are looking - seeing
5 was
VI
1A
2A
3D
4D
5B
a: \(\frac{-2x+3}{5xy}+\frac{3x-4}{5xy}\)
\(=\frac{-2x+3+3x-4}{5xy}=\frac{x-1}{5xy}\)
b: \(\frac{x\left(x-2\right)}{x-3}+\frac{3}{3-x}\)
\(=\frac{x^2-2x-3}{x-3}\)
\(=\frac{\left(x-3\right)\left(x+1\right)}{x-3}=x+1\)
c: \(\frac{2x+7}{3\left(x+2\right)}-\frac{x+5}{3\left(x+2\right)}\)
\(=\frac{2x+7-x-5}{3\left(x+2\right)}\)
\(=\frac{x+2}{3\left(x+2\right)}=\frac13\)
d: \(\frac{5}{2x+6}+\frac{3}{x^2-9}\)
\(=\frac{5}{2\left(x+3\right)}+\frac{3}{\left(x-3\right)\left(x+3\right)}\)
\(=\frac{5\left(x-3\right)+6}{2\left(x-3\right)\left(x+3\right)}=\frac{5x-9}{2\left(x-3\right)\left(x+3\right)}\)
e: \(\frac{3x}{x+2}+\frac{x+3}{x^2-4}\)
\(=\frac{3x\left(x-2\right)+x+3}{\left(x-2\right)\left(x+2\right)}=\frac{3x^2-6x+x+3}{\left(x-2\right)\left(x+2\right)}\)
\(=\frac{3x^2-5x+3}{\left(x-2\right)\left(x+2\right)}\)
f: \(\frac{3x+2}{\left(x+2\right)^2}-\frac{1}{x+2}\)
\(=\frac{3x+2-\left(x+2\right)}{\left(x+2\right)^2}=\frac{2x}{\left(x+2\right)^2}\)
B -> IS GOING
D -> DIDN'T THEY
B -> COULD GO
A -> HASN'T WORN
The national language of China is Chinese
Sari is the traditional dress of India women
beautiful
successful
preparations









III. Match the definiton:
1C
2F
3A
4E
5B
6D
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