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a) \(A=3\left(x-1\right)^2-\left(x+1\right)^2+2\left(x-3\right)\left(x+3\right)-\left(2x+3\right)^2-\left(5-20x\right)\)
\(=\left(3x^2-6x+3\right)-\left(x^2+2x+1\right)+2\left(x^2-9\right)-\left(4x^2+12x+9\right)-5+20x\)
\(=-30\)
b) \(B=-x\left(x+2\right)^2+\left(2x+1\right)^2+\left(x+3\right)\left(x^2-3x+9\right)-1\)
\(=-x\left(x^2+4x+4\right)+\left(4x^2+4x+1\right)+\left(x^3-3x^2+9x+3x^2-9x+27\right)-1\)
\(=27\)
a: Ta có: \(A=3\left(x-1\right)^2-\left(x+1\right)^2+2\left(x-3\right)\left(x+3\right)-\left(2x+3\right)^2-\left(5-20x\right)\)
\(=3x^2-6x+3-x^2-2x-1+2x^2-18-4x^2-12x-9-5+20x\)
\(=-30\)
b: Ta có: \(B=-x\left(x+2\right)^2+\left(2x+1\right)^2+\left(x+3\right)\left(x^2-3x+9\right)-1\)
\(=-x^3-4x^2-4x+4x^2+4x+1+x^3+27-1\)
=27
d: ta có: \(C=3+3^3+3^5+...+3^{1991}\)
\(=3\left(1+3^2+3^4\right)+...+3^{1987}\left(1+3^2+3^4\right)\)
\(=91\cdot\left(3+...+3^{1987}\right)⋮13\)
1 friendly
2 orphanage
3 humorous
4 extremely
5 beautiful
6 luckily
7 peace
8 lovely
9 sociable
10 different
1, friendly
2, orphanage
3, humorous
4,extremely
5, beautiful
6, lucky
7 peace
8 lovely
9 sociable
10 different
2 inside
3 downstairs
4 in
5 outside
6 here
7 upstairs
8 on
9 over
10 out
1.are-grinded
2.is being removed
3.is made
4.has been used
5.are stored
6.was drained
7.be touched
8.was invented
9.was awarded
10.was brought
\(\widehat{B_2}=\widehat{B_4}=60^0\left(đối.đỉnh\right)\\ \widehat{B_2}+\widehat{B_1}=180^0\left(kề.bù\right)\\ \Rightarrow\widehat{B_1}=180^0-60^0=120^0\\ \Rightarrow\widehat{B_3}=\widehat{B_1}=120^0\left(đối.đỉnh\right)\)
Vì a//b nên \(\widehat{B_2}=\widehat{A_4}=60^0;\widehat{B_1}=\widehat{A_3}=120^0\left(so.le.trong\right)\)
Ta có \(\left\{{}\begin{matrix}\widehat{A_2}=\widehat{A_4}=60^0\\\widehat{A_1}=\widehat{A_3}=120^0\end{matrix}\right.\left(đối.đỉnh\right)\)