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a: \(2x^3+x^2-13x+6\)
\(=2x^3-4x^2+5x^2-10x-3x+6\)
\(=\left(x-2\right)\left(2x^2+5x-3\right)\)
\(=\left(x-2\right)\left(2x^2+6x-x-3\right)\)
\(=\left(x-2\right)\left(x+3\right)\left(2x-1\right)\)
b: \(2x^2+y^2-6x+2xy-2y+5=0\)
\(\Leftrightarrow x^2+2xy+y^2+x^2-4x+4-2x-2y+1=0\)
\(\Leftrightarrow\left(x+y\right)^2+\left(x-2\right)^2-2\left(x+y\right)+1=0\)
\(\Leftrightarrow\left(x-2\right)^2+\left(x+y-1\right)^2=0\)
=>x-2=0 và x+y-1=0
=>x=2 và y=-1
a, \(x^2\) + 6x + 5 = 0
=>\(x^2\) + x + 5x +5 = 0
=>x(x + 1) + 5(x + 1) = 0
=>(x + 1)(x + 5) = 0
=> x + 1 =0 hoặc x + 5 =0
=> x = -1 hoặc x = -5
A = 3x ( x2 - 2x + 3) - x2 ( 3x - 2 ) + 5 ( x2 - x )
A = 3x3 - 6x2 + 9x - 3x3 + 2x2 + 5x2 - 5x
A = ( 3x3 - 3x3 ) - ( 6x2 - 2x2 - 5x2 ) + ( 9x - 5x )
A = x
1.
a) \(=3x\left(x-3y\right)\left(12x+1\right)\)
b) \(=\left(x-1\right)^2-4y^2=\left(x-2y-1\right)\left(x+2y-1\right)\)
c) \(=y\left(x-z\right)+3\left(x-z\right)=\left(x-z\right)\left(y+3\right)\)
d) \(=\left(x-1\right)^2-49=\left(x-8\right)\left(x+6\right)\)
e) Chịu!
f) Chịu!
3.
a) \(\Leftrightarrow\left(x-5\right)^2-5\left(x-5\right)=0\)
⇔ \(\left(x-5\right)\left(x-10\right)=0\)
⇔ \(\left[{}\begin{matrix}x=5\\x=10\end{matrix}\right.\)
b) \(A=x\left(5x-3y\right)-z\left(3y-5x\right)=\left(x+z\right)\left(5x-3y\right)\)
Thay x = 2015,2016; y = 1,4; = -2015,2016 vào A ta có
A = 0
1,
a, =36x^2.(x-3y)+3x.(x-3y)
=(36x^2+3x)(x-3y)=3x(12x+1)(x-3y)
b, =(x^2-2x+1)-4y^2
=(x-1)^2-4y^2
=(x-1-4y)(x-1+4y)
C, =xy+3x-yz-3z
=x(y+3)-z(y+3)=(x-z)(y+3)
d, x^2-2x+1-49
=(x-1)^2-7^2
e, chịu
f, chịu
2, a, chịu
b, =x(5x-3y)+z(5x-3y)
=(x+z)(5x-3y), thay vào ta có
=(2015,2016+-2015,2016)(5.2015,2016-3.-2015,2016)
=0
Mấy bài chịu để suy nghĩ đã sorry
(X-y-4)2-(2x+3y-1)2
=(X-Y-4-2X-3Y+1)(X-Y-4+2X+3Y-1)=(-X-4Y-3)(X+2Y-5)
(2x2+1)2+6(2x2+1)+9
=(2X2+1+3)2 (dùng hằng đẳng thức a2 +2ab+b2 =(a+b)2
=(2x2+4)2=(2(x2+2))2=4(x2+2)2
\(a,\left(x-y-4\right)^2-\left(2x+3y-1\right)^2\)
\(=\left(3x-2y-5\right)\left(-x-4y-3\right)\)
\(b,\left(2x^2+1\right)^2+6\left(2x^2+1\right)+9\)
\(=\left(2x^2+4\right)^2\)
\(3x\left(x-5\right)-x\left(4+3x\right)=43\)
\(\Leftrightarrow3x^2-15x-4x-3x^2=43\)
\(\Leftrightarrow-19x=43\)
\(\Leftrightarrow x=\frac{-43}{19}\)
\(x\cdot y=3\Rightarrow x=\dfrac{3}{y}\\ \Rightarrow\dfrac{3}{y}+y=5\\ \Rightarrow y^2-5y+1=0\\ \Leftrightarrow\left[{}\begin{matrix}y=\dfrac{5+\sqrt{21}}{2}\Rightarrow x=\dfrac{15-3\sqrt{21}}{2}\\y=\dfrac{5-\sqrt{21}}{2}\Rightarrow x=\dfrac{15+3\sqrt{21}}{2}\end{matrix}\right.\)
\(B=\left(2x-3y\right)\left(3y-2x\right)=-\left(2x-3y\right)^2\\ \Rightarrow\left[{}\begin{matrix}B\simeq-172,176\\B\simeq-790,823\end{matrix}\right.\)
\(C=x^5+y^5\\ \Rightarrow\left[{}\begin{matrix}C\simeq2525,096\\C\simeq613574,904\end{matrix}\right.\)
Em xem lại đề xem, bài này số xấu