Mathématiques

Question

Factoriser
4x②-20x+25
16-9y②
49-(3x+1)②
(x+3)(x-9)-(x+3)②

1 Réponse

  • Bonsoir , 
    4x²-20x+25
    = (2x)² - 2 × 2x × 5 + 5² 
    = (2x+5)²  
    16-9y²
    = 4² - (3y)²
    = (4-3y) (4+3y) 
    49 - (3x+1)²
    = 7² - (3x+1)²
    = [ 7 -(3x+1) ] [ 7 + (3x+1) ] 
    = [ 7 - 3x - 1 ] [ 7 + 3x + 1 ] 
    = ( 6 - 3x ) ( 8 + 3x )  
    (x+3)(x-9) - (x+3)²
    = (x+3) [ ( x-9) - (x+3) ] 
    = (x+3) [ x-9 - x - 3 ] 
    -12 (x+3) 

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