Bonsoir
a) (4x + 5 ) ( x+3) + (x+3) (x-2)
( x + 3 ) ( 4 x + 5 + x - 2 )
= ( x + 3 ) ( 5 x + 3 )
b) (2x - 4)(x-5) - (2x - 4)(7x+8)
( 2 x - 4 ) ( x - 5 - 7 x - 8 )
= ( 2 x - 4 ) ( - 6 x - 13 )
c) ( - 3x + 5 ) (x - 1) + 2 (x - 1) (5x+9)
( x - 1 ) ( - 3 x + 5 + 10 x + 18)
= ( x -1 ) ( 7 x + 23 )
d) (x+3) (2x - 3) - (2x - 3 )
( 2 x - 3 ) ( x + 3 - 1 )
= ( 2 x - 3 ) ( x + 2 )
e) (3y - 5)² + 2 (3y - 5 )
( 3 y - 5 ) ( 3 y - 5 + 2 )
= ( 3 y - 5 ) ( 3 y - 3 )
= 3 ( 3 y - 5 ) ( y - 1 )
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Bonsoir
a) (4x + 5 ) ( x+3) + (x+3) (x-2)
( x + 3 ) ( 4 x + 5 + x - 2 )
= ( x + 3 ) ( 5 x + 3 )
b) (2x - 4)(x-5) - (2x - 4)(7x+8)
( 2 x - 4 ) ( x - 5 - 7 x - 8 )
= ( 2 x - 4 ) ( - 6 x - 13 )
c) ( - 3x + 5 ) (x - 1) + 2 (x - 1) (5x+9)
( x - 1 ) ( - 3 x + 5 + 10 x + 18)
= ( x -1 ) ( 7 x + 23 )
d) (x+3) (2x - 3) - (2x - 3 )
( 2 x - 3 ) ( x + 3 - 1 )
= ( 2 x - 3 ) ( x + 2 )
e) (3y - 5)² + 2 (3y - 5 )
( 3 y - 5 ) ( 3 y - 5 + 2 )
= ( 3 y - 5 ) ( 3 y - 3 )
= 3 ( 3 y - 5 ) ( y - 1 )