☺ Salut ☺
Calculons [tex](2x + 3)(1 - x) + {(4x + 6)}^{2}[/tex] :
[tex]\boxed{(2x + 3)(1 - x) + {(4x + 6)}^{2}}[/tex]
[tex]\boxed{2x - 2{x}^{2} + 3 - 3x + {(4x + 6)}^{2}}[/tex]
[tex] \boxed{- 2{x}^{2} - x + 3 + {(4x + 6)}^{2}}[/tex]
On sait que [tex]{(a + b)}^{2} = {a}^{2} + 2ab + {b}^{2}[/tex].
Alors :
[tex] \boxed{- 2{x}^{2} - x + 3 + 16{x}^{2} + 48x + 36} [/tex]
[tex] \boxed{- 2{x}^{2} + 16{x}^{2} + 48x - x + 3 + 36} [/tex]
[tex]\boxed{ (- 2 + 16){x}^{2} + (48 - 1)x + 39}[/tex]
[tex]\green{\boxed{\blue{\boxed{\red{14{x}^{2} + 47x + 39}}}}}[/tex]
