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Sagot :
9) (2x + 3)(4x² - 6x + 9) 10) (4-3b)(4² + 12b + 9b²)
11) (2m -3r)(4m² + 6mr + 9r²) 12) (5a + 2b)(25a² - 10ab + 4b²)
Explanation:
Factoring a Sum of Cubes:
a³ + b³ = (a + b)(a² – ab + b²)
Factoring a Difference of Cubes:
a³ – b³ = (a – b)(a² + ab + b²)
9) 8x³+27
2³x³ + 3³ = (2x)³ + 3³
(2x)³ + 3³ = (2x + 3)((2x)² -(2x)(3) + 3²)
= (2x + 3)(4x² - 6x + 9)
10) 64 - 27b³
4³ - 3³b³ = 4³ - (3b)³
4³ - (3b)³ = (4-3b)(4² + (4)(3b) + (3b)²
= (4-3b)(4² + 12b + 9b²)
11) 8m³ - 27r³
2³m³ - 3³r³ = (2m)³ - (3r)³
(2m)³ - (3r)³ = (2m -3r)((2m)² + (2m)(3r) + (3r)²)
= (2m -3r)(4m² + 6mr + 9r²)
12) 125a³+8b³
5³a³ + 2³b³ = (5a)³ + (2b)³
(5a)³ + (2b)³ = (5a + 2b)((5a)² - (5a)(2b) + (2b)²)
= (5a + 2b)(25a² - 10ab + 4b²)
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