bonjour
[( 2 x - 1 )² - ( x + 1 )² ] : ( x² - 4 x + 4 )
( 2 x - 1 + x + 1 ) ( 2 x - 1 - x - 1 ) / (x² - 4 x + 4 )
3 x ( x - 2 ) / ( x - 2 )²
= 3 x / ( x - 2 )
Explications étape par étape:
[tex] = \frac{(2x - 1) {}^{2} - (x + 1) {}^{2} }{(x - 2)(x - 2)} [/tex]
[tex] = \frac{4x {}^{2} - 4x + 1 - (x { }^{2} - 2x + 1) }{(x - 2)(x - 2)} [/tex]
[tex] = \frac{4x {}^ {2} - x {}^{2} - 4x - 2x + 1 - 1 }{(x - 2)(x - 2)} [/tex]
[tex] \frac{3x {}^{2} - 6x }{(x - 2)(x - 2)} [/tex]
[tex] \frac{3x(x - 2)}{(x - 2)(x - 2)}[/tex]
[tex] = \frac{3x}{x - 2} [/tex]
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bonjour
[( 2 x - 1 )² - ( x + 1 )² ] : ( x² - 4 x + 4 )
( 2 x - 1 + x + 1 ) ( 2 x - 1 - x - 1 ) / (x² - 4 x + 4 )
3 x ( x - 2 ) / ( x - 2 )²
= 3 x / ( x - 2 )
Verified answer
Explications étape par étape:
[tex] = \frac{(2x - 1) {}^{2} - (x + 1) {}^{2} }{(x - 2)(x - 2)} [/tex]
[tex] = \frac{4x {}^{2} - 4x + 1 - (x { }^{2} - 2x + 1) }{(x - 2)(x - 2)} [/tex]
[tex] = \frac{4x {}^ {2} - x {}^{2} - 4x - 2x + 1 - 1 }{(x - 2)(x - 2)} [/tex]
[tex] \frac{3x {}^{2} - 6x }{(x - 2)(x - 2)} [/tex]
[tex] \frac{3x(x - 2)}{(x - 2)(x - 2)}[/tex]
[tex] = \frac{3x}{x - 2} [/tex]