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26 tháng 7 2023

\(4.\left(3x+y\right)^2+\left(x+y\right)^2\) 

\(=3x^2+6xy+y^2+x^2-2xy+y^2\) 

\(=9x^2+6xy+y^2+x^2-2xy+y^2\)

\(=10x^2-4xy+2y^2\) 

\(7.\left(x-4\right)^2+\left(x+4y\right)\) 

\(=x^2-8x+16+x+4y\) 

\(=x^2-7x+16+4y\) 

\(10.\left(2x+7\right)^2+\left(-2x-3\right)^2\) 

\(=4x^2+28x+49+4x^2+12x+9\) 

\(=8x^2+40x+58\)

\(12.-\left(x+1\right)^2-\left(x-1\right)^2\) 

\(=-\left(x^2+2x+1\right)-\left(x^2-2x+1\right)\) 

\(=-x^2-2x-1+x^2+2x-1\)  

\(=4x\) 

\(5.-\left(x+5\right)^2-\left(x-3\right)^2\) 

\(=-\left(x^2+10x+25\right)-\left(x^2-6x+9\right)\) 

\(=-x^2-10-25+x^2+6x-9\) 

\(=-16x-16\) 

\(8.-\left(-2x+3\right)^2-\left(5x-3\right)^2\) 

\(=4x^2+12x+9-25x^2+30x-9\) 

\(=-21x^2+42x\)

\(11.-\left(2x-y\right)^2-\left(x+3y\right)^2\) 

\(=-4x^2+4xy-y^2-\left(x^2+6xy+9y^2\right)\) 

\(=-4x^2+4xy-y^2-x^2-6xy-9y^2\) 

\(=-5x^2-2xy-10y^2\)

4: =9x^2+6xy+y^2+x^2-2xy+y^2

=10x^2+4xy+2y^2

5: =-x^2-10x-25-x^2+6x-9

=-4x-34

7; \(=x^2-8xy+16y^2+x+4y\)

10: \(=4x^2+28x+49+4x^2+12x+9\)

=8x^2+40x+58

11: =-4x^2+4xy-y^2-x^2-6xy-9y^2

=-5x^2-2xy-10y^2

 

21 tháng 9 2023

Bài 1: - \(\dfrac{5}{7}\) x \(\dfrac{31}{33}\) + \(\dfrac{-5}{7}\) x \(\dfrac{2}{33}\) + 2\(\dfrac{5}{7}\)

         = - \(\dfrac{5}{7}\) \(\times\) ( \(\dfrac{31}{33}\) + \(\dfrac{2}{33}\)) + 2 + \(\dfrac{5}{7}\)

         =  - \(\dfrac{5}{7}\)  + 2 + \(\dfrac{5}{7}\)

          = 2

21 tháng 9 2023

2, \(\dfrac{3}{14}\)\(\dfrac{1}{28}\) - \(\dfrac{13}{21}\)\(\dfrac{1}{28}\) + \(\dfrac{29}{42}\)\(\dfrac{1}{28}\) - 8

   = (\(\dfrac{3}{14}\) - \(\dfrac{13}{21}\) + \(\dfrac{29}{42}\)) : \(\dfrac{1}{28}\) - 8

   =  \(\dfrac{2}{7}\) x 28 - 8

   = 8 - 8

    = 0 

9 tháng 5 2022

Mary if she could speak some foreign languages
Lan if she was going to visit her aunt the day after
what I was doing
how she was feeling then
what I usually did in my free time
why he why he didn't come there to meet her
why I was so lazy and naughty
like playing soccer, don't you?
goes to school late, doesn't he?
can swim very well, can't you?
is going to the party, isn't she?
was published in Germany in 1550, wasn't it?
are sold all over the world, aren't they?
have been built this year, haven't they?
was given a book, wasn't he?
was bought by Mrs Brown yesterday, wasn't she?
is used every day, isn't it?
be beautiful sights in this village when I lived here

Bài 1: 

b: Tọa độ giao điểm là:

\(\left\{{}\begin{matrix}x+2=-2x+5\\y=-x+2\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x=1\\y=1\end{matrix}\right.\)

8 tháng 11 2021

Bài 1:

\(b,\) PTHDGD là \(x+2=-2x+5\Leftrightarrow x=1\Leftrightarrow y=3\Leftrightarrow A\left(1;3\right)\)

Vậy A(1;3) là giao điểm 2 đths

\(c,\) PT giao Ox là \(y=0\Leftrightarrow x=-2\Leftrightarrow B\left(-2;0\right)\Leftrightarrow OB=\left|-2\right|=2\)

PT giao Oy là \(x=0\Leftrightarrow y=-2\Leftrightarrow C\left(0;-2\right)\Leftrightarrow OC=\left|-2\right|=2\)

Do đó \(\tan\widehat{OBC}=\dfrac{OC}{OB}=1\Leftrightarrow\widehat{OBC}=45^0\)

Mà hệ số a của đt >0 nên góc tạo bởi đt với Ox là góc nhọn có sđ 45o

18 tháng 9 2021

Bài 1:

Theo đề ta có : A1=G1; T1=3A1; X1 = 2T1

=>\(\left\{{}\begin{matrix}X_1=6A_1\\T_1=3A_1\\G_1=A_1\end{matrix}\right.\)=>\(\left\{{}\begin{matrix}A=4A_1\\G=7A_1\end{matrix}\right.\)

Lại có: 2A + 3G= 5800

=> 29A1 = 5800 => A1=200

=> G = 1400