Mathématiques

Question

Factoriser chaque expression.

a) 36 - 60x + 25x²
b) 9x² + 42x + 49
c) x² - 9/16
d) 1 - 16y²

1 Réponse

  • [tex]36-60x+25x^{2}\\6^{2}-2\times6\times5x+(5x)^{2}\\\boxed{=(6-5x)^{2}}[/tex]


    [tex]9x^{2}+42x+49\\=(3x)^{2}+2\times7\times3x+7^{2}\\\boxed{=(3x+7)^{2}}[/tex]


    [tex]x^{2}-\frac{9}{16}\\\\=x^{2}-(\frac{3}{4})^{2}\\\\\boxed{=(x-\frac{3}{4})(x+\frac{3}{4})}[/tex]


    [tex]1-16y^{2}\\=1^{2}-(4y)^{2}\\\boxed{=(1-4y)(1+4y)}[/tex]

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