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5x(x-3)2 - 5(x-1)3 + 15(x+4) (x-4) = 5
<=> 5x( x2 - 2. x .3 + 32 ) -5 ( x3 -3.x2.1 + 3.x.12 - 13 ) + 15. ( x2 - 42 ) = 5
<=>5x( x2 - 6x + 9 ) - 5 ( x3 - 3x2 + 3x - 1 ) + 15. ( x2 - 16 ) =5
<=> 5x.x2 + 5x.( - 6x ) + 5x.9 - 5.x3 -5. ( -3x2 ) - 5.3x - 5.(-1) +15.x2 + 15. ( -16 ) = 5
<=> 5x3 - 30x2 + 45x - 5x3 + 15x2 - 15x + 5 + 15x2 - 240 = 5
<=> 5x3 - 5x3 - 30x2 + 15x2 + 15x2 + 45x - 15x + 5 - 240 = 5
<=> 30x - 235 = 5
<=> 30x = 5 + 235
<=> 30x = 240
<=> x = 240 : 30
<=> x = 8
a ) 2x ( x - 5 ) - x ( 3 + 2x ) = 26
2x2 - 10x - 3x - 2x2 = 26
- 13x = 26
x = 26 : ( -13 )
x = -2
b) 49x2 - 81 = 0
( 7x - 9 )( 7x + 9 ) = 0
Th1 :
7x - 9 = 0
7x = 9
x = \(\frac{9}{7}\)
Th2
7x + 9 = 0
7x = -9
x = \(-\frac{9}{7}\)
Vay x = \(\frac{9}{7}\) hoac x = \(-\frac{9}{7}\)
a) x(x - 2) + x - 2
= x(x - 2) + (x - 2)
= (x - 2).(x + 1)
b) 5x(x - 3) - x + 3
= 5x(x - 3) - (x - 3)
= (x - 3).(5x - 1)
a.x(x-2)+x-2
=(x-2)(x+1)
b.5x(x-3)-x+3
=5x(x-3)-(x-3)
=(x-3)(5x-1)
Ta có : (2x + 3).(x + 4) + (x - 5).(x - 2) = (3x - 5)(x - 4)
<=> 2x2 + 11x + 12 + x2 - 7x - 10 = 3x2 - 17x - 20
<=> 2x2 + 11x + 12 + x2 - 7x - 10 - 3x2 + 17x - 20 = 0
<=> 2x2 + x2 - 3x2 + 11x - 7x + 17x + 12 - 10 - 20 = 0
<=> 21x - 18 = 0
<=> 21x = 18
<=> x = \(\frac{18}{21}=\frac{6}{7}\)
a. x^3 -2x^2 +4x+2x^2 -4x+8 -x^3 -2x=15
8-2x=15
-2x=7
x=-7/2
\(A=\left(x+y\right)^3-\left(x-y\right)^3.\)
\(=x^3+3x^2y+3xy^2+y^3-\left(x^3-3x^2y+3xy^2-y^2\right)\)
\(=x^3+3x^2y+3xy^2+y^3-x^3+3x^2y-3xy^2+y^3\)
\(=6x^2y+2y^3\)
\(=2y\left(y^2+3x^2\right)\)
A=(x+y)3-(x-y)3
=[(x+y)-(x-y)][(x+y)2+(x+y)(x-y)+(x-y)2]
=(x+y-x+y)[x2+2xy+y2+x2-y2+x2-2xy+y2]
=2y(3x2+y2)=B
Đpcm