Sagot :
bonsoir,
B (x) = ( 4 x + 5 )² - ( 4 x + 5 ) ( 7 - x )
B (x) = 16 x² + 40 x + 25 - ( 28 x - 4 x² + 35 - 5 x )
B (x) = 16 x² + 40 x + 25 - 28 x + 4 x² - 35 + 5 x
b (x) = 20 x² + 17 x - 10
B (x) = ( 4 x + 5 ) ( 4 x + 5 - 7 + x )
B ( x) = ( 4 x + 5 ) ( 5 x - 2 )
Bonsoir,
1) (4x+5)²-(4x+5)(7-x)
= 16x²+40x+25-(28x-4x²+35-5x)
= 16x²+4x²+40x-28x+5x+25-35
= 20x²+17x-10
2) (4x+5)²-(4x+5)(7-x)
= (4x+5)(4x+5)-(4x+5)(7-x)
= (4x+5)[(4x+5)-(7-x)]
= (4x+5)(5x-2)
3) 20x²+17x-10 = 0
⇒ (4x+5)(5x-2) = 0
⇒ 4x+5=0 ou 5x-2=0
⇒ 4x=-5 ou 5x=2
⇒ x=-5/4 ou x=2/5