Mathématiques

Question

bonjour j ai besoin d aide pour une exercice de math
factorise ces expressions
a = x2 -16
b = 1 - y2
c = 100x2 - 9
d = 36 - 81z2
e = 4pi2 - 25
f = ( t +3 )2 - 16
g = ( 2x + 1 )2 - 25
h = ( 3i + 7 )2 - ( i + 5 )2

2 Réponse

  • bonjour


    a = ( x - 4) ( x + 4)

    b = ( 1 - y) 1 + y)

    c = ( 10 x - 3) ( 10 x + 3 )

    d = ( 6 - 9 z) ( 6 + 9 z )

    e = ( 2 pi - 5) ( 2 pi + 5)

    f = ( t + 3 - 4 ) ( t + 3 + 4) = ( t - 1) ( t + 7)

    g = ( 2 x + 1 - 5) ( 2 x + 1 + 5) = ( 2 x - 4) ( 2 x + 6)

    h = ( 3 i + 7 + i + 5) ( 3 i + 7 - i - 5) = ( 4 i + 12 ) ( 2 i + 2 )

    ce sont toutes des différences de 2  carrés

  • Bonjour

    factorise ces expressions

    a = x^2 -16 = a^2 - b^2 = (a - b)(a + b)

    A = (x - 4)(x + 4)


    b = 1 - y^2 = a^2 - b^2 = ...


    c = 100x^2 - 9 = (10x)^2 - 3^2 = ....


    d = 36 - 81z^2 = 6^2 - (9z)^2 = ...


    e = 4pi^2 - 25 = (2pi)^2 - 5^2 = ...


    f = ( t +3 )^2 - 16 = (t + 3)^2 - 4^2

    F = (t + 3 - 4)(t + 3 + 4)

    F = (t - 1)(t + 7)


    g = ( 2x + 1 )^2 - 25 = (2x + 1)^2 - 5^2

    G = (2x + 1 - 5)(2x + 1 + 5)

    G = (2x - 4)(2x + 6)

    G = 2(x - 2) * 2(x + 3)

    G = 4(x - 2)(x + 3)


    h = ( 3i + 7 )^2 - ( i + 5 )^2

    H = (3i + 7 - i - 5)(3i + 7 + i + 5)

    H = ....

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