Exercices complémentaires |
Série A3)
Mets
le ou les facteurs communs en évidence. |
a)
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5x + 5y
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= 5 . x + 5 . y = 5 . (x + y) |
b)
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12a – 8b
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= 4 . 3a – 4 . 2b = 4 . (3a – 2b) |
xy + xz
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= x . y + x . z = x . (y + z) |
15ab – 10ac
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= 5a . 3b – 5a . 2c = 5a . (3b – 2c) |
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5x + 10y
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= 5 . x + 5 . 2y = 5 . (x + 2y)
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– 4a – 6c
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= – 4a + (– 6c) = (– 2) . 2a + (– 2) . 3c = (– 2) . (2a + 3c) |
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15a + 25b
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= 5 . 3a + 5 . 5b = 5 . (3a + 5b) |
– 2x + 4y
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= 2 . (– x) + 2 . 2y = 2 . (– x + 2y) |
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6ab + 9ac
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= 3a . 2b + 3a . 3c = 3a . (2b + 3c) |
18a – 24b
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= 6 . 3a – 6 . 4b = 6 . (3a – 4b) |
c)
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x2 + xy
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= x . x + x . y = x . (x + y) |
d) | 8a2 – 12a
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= 4a . 2a – 4a . 3 = 4a . (2a – 3) |
5x + 2x2
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= x . 5 + x . 2x = x . (5 + 2x) |
– 15x + 10x2
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= 5x . (– 3) + 5x . 2x = 5x . (– 3 + 2x) |
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8a2 + 12a
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= 4a . 2a + 4a . 3 = 4a . (2a + 3)
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– 45a2 – 27a
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= – 45a2 + (– 27a) = (– 9a) . 5a + (– 9a) . 3 = (– 9a) . (5a + 3) |
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16x2 + 24x
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= 8x . 2x + 8x . 3 = 8x . (2x + 3) |
8a – 16a2
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= 8a . 1 – 8a . 2a = 8a . (1 – 2a) |
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3a2 + 13a
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= a . 3a + a . 13 = a . (3a + 13) |
x2 – 3x
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= x . x – x . 3 = x . (x – 3) |