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p/ x4 - 9x3 + 22x2 - 9x + 1
= (x4 - 5x3 + x2) + (- 4x3 + 20x2 - 4x) + (x2 - 5x + 1)
= (x2 - 5x + 1)(x2 - 4x + 1)
q) x4 - 6x3 + 14x2 - 22x + 5
= (x4 - 4x3 + x2) + (- 2x3 + 8x2 - 2x) + (5x2 - 20x + 5)
= (x2 - 4x + 1)(x2 - 2x + 5)
á,(x+7)2-y2
= (x+7+y)(x+7-y)
b, (x+1)(x-25)
chúc bạn luôn thành công trong cuộc sống nha
a)
\(x^2-y^2+14x+49\)
\(=\left(x^2+14x+49\right)-y^2\)
\(=\left(x^2+2.7.x+7^2\right)-y^2\)
\(=\left(x+7\right)^2-y^2\)
\(=\left(x+y+7\right)\left(x-y+7\right)\)
Vậy ...
1.2x^2+x-6=2x^2+4x-3x+6=(2x^2+4x)-(3x+6)=2x(x+2)-3(x+2)=(x+2)(2x-3)
2.x^3-9x^2+14x
=x*(x^2-9x+14)
=x*(x^2-7x-2x+14)
=x*((x^2-7x)-(2x-14))
=x*(x(x-7)-2(x-7))
=x*((x--7)(x-2))
=x*(x-7)(x-2)
A) 7X2 - 7Y2 - 14X + 14Y
= ( 7X2 - 7Y2 ) - ( 14X - 14Y )
= 7( X2 - Y2 ) - 14( X - Y )
= 7( X - Y )( X + Y ) - 14( X - Y )
= 7( X - Y )( X + Y - 14 )
B) X2 - Y2 + 14X + 49
= ( X2 + 14X + 49 ) - Y2
= ( X + 7 )2 - Y2
= ( X - Y + 7 )( X + Y + 7 )
C) X2 - Y2 - X + Y
= ( X2 - Y2 ) - ( X - Y )
= ( X - Y )( X + Y ) - ( X - Y )
= ( X - Y )( X + Y - 1 )
D) X2 + 12Y - Y2 - 36
= X2 - ( Y2 - 12Y + 36 )
= X2 - ( Y - 6 )2
= ( X - Y + 6 )( X + Y - 6 )
E) X3 + X2 - 9X - 9
= ( X3 + X2 ) - ( 9X + 9 )
= X2( X + 1 ) - 9( X + 1 )
= ( X + 1 )( X2 - 9 )
= ( X + 1 )( X - 3 )( X + 3 )
a,\(6x^3y^2-9x^2y^3+1^2x^2y^2\)
\(=x^2y^2\left(6x-9y+1\right)\)
b,\(2x\left(x-1\right)+3\left(1-x\right)\)
\(=2x\left(x-1\right)-3\left(x-1\right)\)
\(=\left(2x-3\right)\left(x-1\right)\)
a,
\(6x^3y^2-9x^2y^3+1\cdot x^2\cdot y^2\)
\(=x^2y^2\left(6x-9y+1\right)\)
b,
\(2x\left(x-1\right)+3\left(1-x\right)\)
\(=2x\left(x-1\right)+3\cdot-1\left(x-1\right)\)
\(=2x\left(x-1\right)-3\left(x-1\right)\)
\(=\left(2x-3\right)\left(x-1\right)\)
Tìm x
x3-x2-14x+24=0
<=> x3-3x2+2x2-6x-8x+24=0
<=> x2(x-3)+2x(x-3)-8(x-3)=0
<=> (x-3)(x2+2x-8)=0
<=> (x-3)(x2-2x+4x-8)=0
<=>(x-3)(x-2)(x+4)=0
<=> x-3=0 hay x-2=0 hay x+4=0
<=> x=3 hay x=2 hay x=-4
S={3;2;-4}
cái này có những biểu thức ko dùng được hđt hoặc đặt nhân tử chung =))) anh nghĩ đề em nên thay chữ và thành hoặc
1, \(15x^2+10xy=5x\left(3x+2y\right)\)
2, \(24x-18y+30=6\left(4x-3y+5\right)\)
3, \(2x\left(y-2009\right)+5y\left(y-2009\right)=\left(y-2009\right)\left(2x+5y\right)\)
4, \(35x\left(y-8\right)-14y\left(8-y\right)=\left(y-8\right)\left(35x+14y\right)=7\left(5x+2y\right)\left(y-8\right)\)
5, \(x^2+14x+49=x^2+2.7x+7^2=\left(x+7\right)^2\)
6, \(9x^2-4=\left(3x-2\right)\left(3x+2\right)\)
Trả lời:
1, 15x2 + 10xy = 5x ( 3x + 2y )
2, 24x - 18y + 30 = 6 ( 4x - 3y + 5 )
3, 2x ( y - 2009 ) + 5y ( y - 2009 ) = ( y - 2009 )( 2x + 5y )
4, 35x ( y - 8 ) - 14y ( 8 - y ) = 35x ( y - 8 ) + 14y ( y - 8 ) = ( y - 8 )( 35x + 14y ) = 7 ( y - 8 )( 5x + 2y )
5, x2 + 14x + 49 = ( x + 7 )2
6, 9x2 - 4 = ( 3x - 2 )( 3x + 2 )
1)
\(=\left(x-7\right)^2-4a^2\)
\(=\left(x-7+2a\right)\left(x-7-2a\right)\)
2)
\(=\left(3x+1\right)^2-5^2\)
\(=\left(3x+1+5\right)\left(3x+1-5\right)\)
\(=\left(3x+6\right)\left(3x-4\right)\)
\(=3\left(x+2\right)\left(3x-4\right)\)
1)x^2-14x+49-4a^2
=x^2-2x7+7^2-4a^2
=\(\left(x-7\right)^2-4a^2\)
=\(\left(x-7\right)^2-\left(2a\right)^2\)
=\(\left(\left(x-7\right)-\left(2a\right)\right).\left(\left(x-7\right)+\left(2a\right)\right)\)
=\(\left(x-7-2a\right).\left(x-7+2a\right)\)
b)
\(9x^2+6x+1-25\\ =\left(3x\right)^2-5^2+6x+1\\ =\left(\left(3x\right)-5\right).\left(\left(3x\right)+5\right)+6x+1\)
\(=\left(3x-5\right).\left(3x+5\right)+6x+1\)