WADEWAYNE
Answered

Bonsoir svp aidé moi à factoriser ça :
(2x+3)(x+2)-5(2x+3)
(3x+4)(6x-2)+(3x+4)2
(X2-4)+(5x-1)(x+2)

Sagot :

MAUDMARINE

Bonsoir,

Factoriser :

(2x+3)(x+2)-5(2x+3)

= (x + 2 - 5) (2x + 3)

= (x - 3) (2x + 3)

(3x+4)(6x-2)+(3x+4)²

= (3x + 4) (3x + 4 + 6x - 2)

= (3x + 4) (9x + 2)

(x²-4)+(5x-1)(x+2)

= (3x + 6) (2x - 1)

= 3 (x + 2) (2x - 1)

VINS

bonjour

( 2 x + 3 )  ( x + 2  - 5 )

⇔  ( 2 x + 3 ) ( x - 3 )

( 3 x + 4 ) ( 6 x - 2 + 3 x + 4 )

⇔ ( 3 x + 4 ) ( 9 x + 2 )

( x² - 4 )  + ( 5 x - 1 ) ( x + 2 )

⇔  ( x - 2 ) ( x + 2 ) + ( 5 x - 1 ) ( x + 2 )

⇔ ( x + 2 ) ( x - 2 + 5 x - 1 )

⇔ ( x + 2 ) ( 6 x - 3 )

⇔ 3 ( x + 2 ) ( 2 x - 1 )