cho x-y=7.Tính: \(^{^{x^2\left(x+1\right)-y^2\left(y-1\right)+xy\left(x-y+1\right)-95}}\)
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Cho x-y=7 . Giá trị của biểu thức
H=x^2(x+1) - y^2(y-1) + xy - 3xy(x-y+1) - 95 là:
\(H=x^2\left(x+1\right)-y^2\left(y-1\right)+xy-3xy\left(x-y+1\right)-95\) 95
\(H=x^2\left(x+1\right)-y^2\left(y-1\right)+xy-3xy\left(x-y+1\right)-95\)
\(H=x^3+x^2-y^3+y^2+xy-3x^2y+3xy^2-3xy-95\)
\(\Leftrightarrow H=x^3-3x^2y+3xy^2-y^3+x^2-2xy+y^2-95\)
\(\Leftrightarrow\left(x-y\right)^3+\left(x-y\right)^2-95\)
\(\Leftrightarrow H=7^3+7^2-95=297\)
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17 tháng 7 2015 lúc 18:51
làm hộ tôi bài cho x-y = 7 tính N= $x^2\left(x+1\right)-y^2\left(y-1\right)+xy-3xy\left(x-y+1\right)-95$x2(x+1)−y2(y−1)+xy−3xy(x−y+1)−95
Cho x-y=7, tính:
a) \(x\left(x+2\right)+y\left(y-2\right)-2xy+37\)
b) \(x^2\left(x+1\right)-y^2\left(y-1\right)+xy-3xy\left(x-y+1\right)-95\)
a) \(x\left(x+2\right)+y\left(y-2\right)-2xy+37\)
\(=x^2+2x+y^2-2y-2xy+37\)
\(=\left(x^2-2xy+y^2\right)+2x-2y+37\)
\(=\left(x-y\right)^2+2\left(x-y\right)+37\)
\(=7^2+2.7+34\)
\(=100\)
b) \(x^2\left(x+1\right)-y^2\left(y-1\right)+xy-3xy\left(x-y+1\right)-95\)
\(=x^3+x^2-y^3+y^2+xy-3xy-3xy\left(x-y\right)-95\)
\(=x^3+x^2-y^3+y^2-2xy-3xy\left(x-y\right)-95\)
\(=\left(x-y\right)^3+\left(x-y\right)^2-95\)
\(=7^3+7^2-95\)
\(=297\)
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17 tháng 7 2015 lúc 17:02
cho x-y = 7 tính N= \(x^2\left(x+1\right)-y^2\left(y-1\right)+xy-3xy\left(x-y+1\right)-95\)
\(N=x^3-y^3+x^2+y^2-2xy-3xy\left(x-y\right)-95\)
\(=\left(x-y\right)^3+3xy\left(x-y\right)+\left(x-y\right)^2-3xy\left(x-y\right)-95\)
\(=\left(x-y\right)^3+\left(x-y\right)^2-95\)
\(=7^3+7^2-95\)
\(=297\)
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Cho x-y=7.Tính:
a)x(x+2)+y(y-2)-2xy+37
b)\(x^2\left(x+1\right)-y^2\left(y-1\right)+xy-3xy\left(x-y+1\right)-95\)
Cho x-y=7 Tính
\(H=x^2\cdot\left(x+1\right)-y^2\cdot\left(y-1\right)+xy-3xy\cdot\left(x-y+1\right)-95\)
Cho x-y=7
Tính:
a/ \(A=x^3-3xy\left(x-y\right)-y^3-x^2-2xy-y^2\)
b/ \(B=x^2\left(x+1\right)-y^2\left(y-1\right)+xy-3xy\left(x-y+1\right)-95\)
Cho x-y=7.Tính:
a)x(x+2)+y(y-2)-2xy+37
b)\(x^2\left(x+1\right)-y^2\left(y-1\right)+xy-3xy\left(x-y+1\right)-95\)
a: \(=x^2+2x+y^2-2y-2xy+37\)
\(=\left(x-y\right)^2+2\left(x-y\right)+37\)
\(=7^2+2\cdot7+37=49+14+37=100\)
b: \(=x^3+x^2-y^3+y^2+xy-3xy\cdot\left(7+1\right)-95\)
\(=\left(x^3-y^3\right)+\left(x^2+y^2\right)+xy-24xy-95\)
\(=\left(x-y\right)^3+3xy\left(x-y\right)+\left(x-y\right)^2+2xy-23xy-95\)
\(=7^3+3xy\cdot7+49-21xy-95\)
\(=343+49-95=297\)
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Cho x-y=7
Tính
a/ \(A=x^3-3xy\left(x-y\right)-y^3-x^2-2xy-y^2\)
b/ \(B=x^2\left(x+1\right)-y^2\left(y-1\right)+xy-3xy\left(x-y+1\right)-95\)
