Sagot :
Réponse :
bonjour
( x+ 7 )² + 2 x + 4
= x² + 14 x + 49 + 2 x + 4
= x² + 16 x + 53
- 3 ( x - 4 )² + 11
= - 3 ( x² - 8 x + 16 ) + 11
= - 3 x² + 24 x - 48 + 11
= - 3 x² + 24 x - 37
( 2 x - 5 ) ( 2 x - 5 ) - ( 3 x + 5 )²
= 4 x² - 25 - ( 9 x² + 30 x + 25 )
= 4 x² - 25 - 9 x² - 30 x - 25
= - 5 x² - 30 x - 50
( x - 1 )² ( x + 2 )
manque un signe je pense
Explications étape par étape
☺ Salut ☻
[tex]\rule{6cm}{1mm}[/tex]
[tex]\boxed{(x+7)^{2}+2x+4}[/tex]
[tex]\boxed{x^{2}+2\times x\times 7 +7^{2} +2x+4}[/tex]
[tex]\boxed{x^{2}+14x+49+2x+4}[/tex]
[tex]\boxed{\boxed{\green{x^{2}+16x+53}}}[/tex]
[tex]\rule{6cm}{1mm}[/tex]
[tex]\boxed{-3(x-4)^{2}+11}[/tex]
[tex]\boxed{-3(x^{2} -2\times x\times 4 +4^{2})+11}[/tex]
[tex]\boxed{-3(x^{2}-8x+16)+11}[/tex]
[tex]\boxed{-3\times x^{2} -3\times (-8x) -3\times 16 + 11}[/tex]
[tex]\boxed{-3x^{2}+24x-48+11}[/tex]
[tex]\boxed{\boxed{\green{-3x^{2}+24x-37}}}[/tex]
[tex]\rule{6cm}{1mm}[/tex]
[tex]\boxed{(2x-5)(2x+5)-(3x+5)^{2}}[/tex]
[tex]\boxed{(2x)^{2}-5^{2}-((3x^{2})+2\times 3x\times 5+5^{2})}[/tex]
[tex]\boxed{4x^{2}-25-(9x^{2}+30x+25)}[/tex]
[tex]\boxed{4x^{2}-25-9x^{2}-30x-25}[/tex]
[tex]\boxed{\boxed{\green{-5x^{2}-30x-50}}}[/tex]
[tex]\rule{6cm}{1mm}[/tex]
[tex]\boxed{(x-1)^{2}(x+2)}[/tex]
[tex]\boxed{(x^{2}-2\times x\times 1 +1^{2})(x+2)}[/tex]
[tex]\boxed{(x^{2}-2x+1)(x+2)}[/tex]
[tex]\boxed{x^{2}\times x +x^{2}\times 2 -2x\times x -2x\times 2 +1\times x +1\times 2}[/tex]
[tex]\boxed{x^{3}+2x^{2}-2x^{2}-4x+x+2}[/tex]
[tex]\boxed{\boxed{\green{x^{3}-3x+2}}}[/tex]
[tex]\rule{6cm}{1mm}[/tex]