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\(1,2x^2-3x-2\)
\(=2x^2-4x+x-2\)
\(=2x\left(x-2\right)+\left(x-2\right)\)
\(=\left(2x+1\right)\left(x-2\right)\)
\(2,4x^2-7x-2\)
\(=4x^2-8x+x-2\)
\(=4x\left(x-2\right)+x-2\)
\(\left(4x+1\right)\left(x-2\right)\)
Thay 11= 10+1 ta có
x10-(10+1)x9+(10+1)x8-(10+1)x7+(10+1)x6-(10+1)x5+(10+1)x4-(10+1)x3+(10+1)x2-(10+1)x+2
= x10-(x+1)x9+(x+1)x8-(x+1)x7+(x+1)x6-(x+1)x5+(x+1)x4-(x+1)x3+(x+1)x2-(x+1)x+2
= x10-x10-x9+x9+x8-x8-x7+x7+x6-x6-x5+x5+x4-x4-x3+x3+x2-x2-x+2
= -x+2
Thay x=10 vào bt
= -10+2
= -8
`a) 8x^2 - 8xy - 4x + 4y`
`= 8x ( x - y ) - 4 ( x - y )`
`= ( x - y ) ( 8x - 4 )`
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`b) x^3 + 10x^2 + 25x - xy^2`
`=x ( x^2 + 10x + 25 ) - xy^2`
`= x ( x + 5 )^2 - xy^2`
`= x [ ( x + 5 )^2 - y^2 ]`
`= x ( x + 5 - y ) ( x + 5 + y )`
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`c) x^2 + x - 6`
`= x^2 + 3x - 2x - 6`
`= x ( x + 3 ) - 2 ( x + 3 )`
`= ( x + 3 ) ( x - 2 )`
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`d) 2x^2 + 4x - 16`
`= 2x^2 - 4x + 8x - 16`
`= 2x ( x - 2 ) + 8 ( x - 2 )`
`= ( x - 2 ) ( 2x + 8 )`
a) x2 + xy –x – y = x(x + y) – (x + y) = (x + y)(x -1 ).
b) a2 – b2 + 8a + 16 = (a2 + 8a + 16) – b2 = (a + 4)2 – b2
= (a + 4 – b)(a + 4 + b).
tui chỉ làm dc này thui
a: Ta có: \(A=10x^2+20xy+10y^2-90\)
\(=10\left(x^2+2xy+y^2-9\right)\)
\(=10\left(x+y-3\right)\left(x+y+3\right)\)
b: Ta có: \(B=x^3y-3x^2y-4xy+12y\)
\(=x^2y\left(x-3\right)-4y\left(x-3\right)\)
\(=y\left(x-3\right)\left(x-2\right)\left(x+2\right)\)
c: Ta có: \(C=125x^3-10x^2+2x-1\)
\(=\left(5x-1\right)\left(25x^2+5x+1\right)-2x\left(5x-1\right)\)
\(=\left(5x-1\right)\left(25x^2+3x+1\right)\)
\(5x^4+10x^2+2y^6+4y^3-6=0\)
\(\Leftrightarrow\)\(\left(5x^4+10x^2+5\right)+\left(2y^6+4y^3+2\right)-5-2-6=0\)
\(\Leftrightarrow\)\(5\left(x^2+1\right)^2+2\left(y^3+1\right)^2=13\)
Có: \(5\left(x^2+1\right)^2\ge0,2\left(y^3+1\right)^2\ge0\)
Do đó: \(x^2+1\ge1\forall x\in Z\)
\(TH1:\)\(x^2+1=1\Rightarrow x=0\)
\(\Rightarrow\)\(2\left(y^3+1\right)^2=8\)
\(\Rightarrow\)\(y=1\)
\(TH2:\)\(x^2+1\ge2\)
\(\Rightarrow\)\(5\left(x+1\right)^2\ge20\)
\(\Rightarrow\)\(5\left(x^2+1\right)^2+2\left(y^3+1\right)^2\ge20>13\)( loại )
Vậy \(\left(x;y\right)\)là \(\left(0;1\right)\)
`10x^2-11x-6`
`=10x^2+4x-15x-6`
`=2x(5x+2)-3(5x+2)`
`=(2x-3)(5x+2)`
Ta có: \(10x^2-11x-6\)
\(=10x^2-15x+4x-6\)
\(=5x\left(2x-3\right)+2\left(2x-3\right)\)
\(=\left(2x-3\right)\left(5x+2\right)\)