Rút gọn:
a,(x+2)^2-(x-2)^2-2(x-2)(x+2)
b,(x+y)^2+(x+y)^2+2(x-y)(x+y)
c,(x-y+z)^2-2(x+y)-2(x+y)(x-y)-z^2
Nhanh giúp mk nha ,mơn
Những câu hỏi liên quan
rút gọn:a) 2(x-y)(x+y)+(x+y)^2+(x-y)^2
b) (x-y+z)^2+(z-y)^2+2(x-y+z)(y-z)
19 tháng 6 2023 lúc 18:18
Rút gọn biểu thức
a,(x+y)2-(x-y)2
b,(x-y-z)2+(x+y+z)2
c,(x+y)2-2(x+y)(x-y)+(x-y)2
\(\left(a\right):\left(x+y\right)^2-\left(x-y\right)^2=x^2+2xy+y^2-\left(x^2-2xy+y^2\right)\\ =x^2+2xy+y^2-x^2+2xy-y^2\\ =4xy\)
\(\left(b\right):\left(x-y-z\right)^2+\left(x+y+z\right)^2\\ =\left[\left(x-y\right)-z\right]^2+\left[\left(x+y\right)+z\right]^2\\ =\left(x-y\right)^2-2z\left(x-y\right)+z^2+\left(x+y\right)^2+2z\left(x+y\right)+z^2\\ =x^2-2xy+y^2-2xz+2yz+z^2+x^2+2xy+y^2+2xz+2yz+z^2\\ =2x^2+2y^2+2z^2+4yz\)
\(\left(c\right):\left(x+y\right)^2-2\left(x+y\right)\left(x-y\right)+\left(x-y\right)^2\\ =\left[\left(x+y\right)-\left(x-y\right)\right]^2\\ =\left(x+y-x+y\right)^2\\ =\left(2y\right)^2=4y^2\)
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Rút gọn:
a) A=(5-x)(5+x)-x(4-x)-25
b) B=(x2+1)(x+1)-(x+1)3
c) C=(x+y-2)2-2(x+y-2)(y+x)+(x+y)2
a) \(A=\left(5-x\right)\left(5+x\right)-x\left(4-x\right)-25\\ =25-x^2-4x+x^2-25\\ =-4x\)
b) \(B=\left(x^2+1\right)\left(x+1\right)-\left(x+1\right)^3\\ =x^3+x+x^2+1-x^3-3x^2-3x-1\\ =-2x^2-2x\)
c) \(\left(x+y-2\right)^2-2\left(x+y-2\right)\left(y+x\right)+\left(x+y\right)^2\)
\(=x^2+y^2+4+2xy-4y-4x-2\left(xy+y^2-2y+x^2+xy-2x\right)+x^2+2xy+y^2\)
\(=x^2+y^2+4+2xy-4y-4x-2\left(2xy+y^2-2y+x^2-2x\right)+x^2+2xy+y^2\)
\(=x^2+y^2+4+2xy-4y-4x-4xy-2y^2+4y-2x^2+4x+x^2+2xy+y^2\)
\(=4\)
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a) \(A=\left(5-x\right)\left(5+x\right)-x\left(4-x\right)-25=25-x^2-4x+x^2-25=-4x\)b) \(B=\left(x^2+1\right)\left(x+1\right)-\left(x+1\right)^3=\left(x+1\right)\left[x^2+1-\left(x+1\right)^2\right]=\left(x+1\right)\left(x^2+1-x^2-2x-1\right)=\left(x+1\right)\left(-2x\right)\)c) \(C=\left(x+y-2\right)^2-2\left(x+y-2\right)\left(y+x\right)+\left(x+y\right)^2=\left(x+y-1-x-y\right)^2=\left(-1\right)^2=1\)
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a: Ta có: \(A=\left(5-x\right)\left(5+x\right)-x\left(4-x\right)-25\)
\(=5-x^2-4x+x^2-25\)
=-4x-20
b: Ta có: \(B=\left(x^2+1\right)\left(x+1\right)-\left(x+1\right)^3\)
\(=x^3+x+x^2+1-x^3-3x^2-3x-1\)
\(=-2x^2-2x\)
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Rút gon
A= (x−y)^2+(x+y)^2+(x−y)(x+y)
B=(x−y)^2+(−x+y−z)^2+2(x−y)(−x+y−z)
\(A=x^2-2xy+y^2+x^2+2xy+y^2+x^2-y^2=3x^2+y^2\\ B=\left(x-y-x+y-z\right)^2=\left(-z\right)^2=z^2\)
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Rút gọn:a) dfrac{3left(x-yright)left(x-zright)^2}{6left(x-yright)left(x-zright)}b) dfrac{6x^2y^2}{8xy^5}c) dfrac{3xleft(1-xright)}{2left(x-1right)}d) dfrac{9-left(x+5right)^2}{x^2+4x+4}e) dfrac{x^2-2x+1}{x^2-1}f) dfrac{8x-4}{8x^3-1}g) dfrac{x^2+5x+6}{x^2+4x+4}k) dfrac{20x^2-45}{left(2x+3right)^2}
Đọc tiếp
Rút gọn:
a) \(\dfrac{3\left(x-y\right)\left(x-z\right)^2}{6\left(x-y\right)\left(x-z\right)}\)
b) \(\dfrac{6x^2y^2}{8xy^5}\)
c) \(\dfrac{3x\left(1-x\right)}{2\left(x-1\right)}\)
d) \(\dfrac{9-\left(x+5\right)^2}{x^2+4x+4}\)
e) \(\dfrac{x^2-2x+1}{x^2-1}\)
f) \(\dfrac{8x-4}{8x^3-1}\)
g) \(\dfrac{x^2+5x+6}{x^2+4x+4}\)
k) \(\dfrac{20x^2-45}{\left(2x+3\right)^2}\)
a: \(=\dfrac{x-z}{2}\)
b: \(=\dfrac{3x}{4y^3}\)
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Rút gọn biểu thức:
a) (x-2)^3-x(x+1)(x-1)+6x(x-3)
b) (2x+y)(4x^2-2xy+y^2)-(2x-y)(4x^2+2xy+y^2)
c) (x+y+z)^2-2(x+y+z)(x+y)+(x+y)
giúp mình vs!!!!
\(a,\left(x-2\right)^3-x\left(x-1\right)\left(x+1\right)+6x\left(x-3\right)\)
\(=x^3-6x^2+12x-27-x^3+x+6x^2-18x\)
\(=-5x-27\)
\(b,\left(2x+y\right)\left(4x^2-2xy+y^2\right)-\left(2x-y\right)\left(4x^2+2xy+y^2\right)\)
\(=8x^3+y^3-\left(8x^3-y^3\right)\)
\(=8x^3+y^3-8x^3+y^3=2y^3\)
\(\left(x+y+z\right)^2-2\left(x+y+z\right)\left(x+y\right)+\left(x+y\right)^2\)
\(=\left(x+y+z-x-y\right)^2\)
\(=z^2\)
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a)
=\(x^3-6x^2+12x+8-27-x^3+x+6x^2-18x\)
=-5x-19
b)
=\(8x^3+y^3-8x^3+y^3\)
=\(2y^3\)
c)
=(x+y+z-x-y)\(^2\) +x+y
=\(z^2+x+y\)
hc tốt
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I, a Cho x^2+y^2=2 CMR 2(x+1)(y+1) chia hết cho (x+y)(x+y+2).
b Cho (x+y)(x+z)+(y+z)(y+x)=2(z+x)(z+y). CMR z^2= (x^2+y^2) : 2
Ai làm được mk hứa sẽ tick. Cảm ơn trước nha!!!!
1) Rút gọn biểu thức sau :
a) (x+y)2+(x-y)2
b) 2(x-y)(x+y)+(x+y)2+(x-y)2
c)(x-y+z)2+(z-y)2+2(x-y+z)(y-z)
a) \(=x^2+2xy+y^2+x^2-2xy+y^2=2\left(x^2+y^2\right)\)
b) \(=2\left(x^2-y^2\right)+2\left(x^2+y^2\right)=2x^2+2x^2+2y^2-2y^2=4x^2\)( cái này áp dụng luôn kết quả câu trên nha)
c) \(\left(x-y+z\right)^2++2\left(x-y+z\right)\left(y-z\right)+\left(y-z\right)^2=\left(x-y+z+y-z\right)^2=x^2\)
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tớ cũng giống Nguyễn Thị Bích Hậu
tích cho nha 1 cái thôi cũng được .
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rút gọn
a) ( x-1) 2 + z ( x-z ) (x+z) ( x-z ) 2
b) ( x-y ) 2 + ( x-y ) (x+y) + ( x+y ) 2