Bonjour,
(2x/3 - 4)(4x + 1/3)
= 8x²/3 + 2x/9 - 16x - 4/3
= 8x²/3 - 142x/9 - 4/3
(x - 3/2)² + 2
= x² - 3x + 9/4 + 2
= x² - 3x + 17/4
2x²(3x - 1)(4 - x)
= 2x²(12x - 3x² - 4 + x)
= 2x²(-3x² + 13x - 4)
= -6x⁴ + 26x³ - 8x²
3x³ - 3x
= 3x(x² - 1)
4 - (3x - 1)²
= 2² - (3x - 1)²
= [2 + (3x - 1)][2 - (3x-1)]
= (3x + 1)(-3x + 3)
= -3(3x + 1)(x - 1)
2(3x + 1)² - (5 - x)(3x + 1)
= 2(3x + 1)(3x+1) - (5 - x)(3x + 1)
= (3x + 1)[2(3x + 1)-(5 - x)]
= (3x + 1)(7x - 3)
(x - 3)² - 1 - 2(x - 2)²
= x² - 6x + 9 - 1 - 2(x² - 4x + 4)
= x² - 6x + 9 - 1 - 2x² + 8x - 8
= -x² + 2x
= -x(x - 2)
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Bonjour,
(2x/3 - 4)(4x + 1/3)
= 8x²/3 + 2x/9 - 16x - 4/3
= 8x²/3 - 142x/9 - 4/3
(x - 3/2)² + 2
= x² - 3x + 9/4 + 2
= x² - 3x + 17/4
2x²(3x - 1)(4 - x)
= 2x²(12x - 3x² - 4 + x)
= 2x²(-3x² + 13x - 4)
= -6x⁴ + 26x³ - 8x²
3x³ - 3x
= 3x(x² - 1)
4 - (3x - 1)²
= 2² - (3x - 1)²
= [2 + (3x - 1)][2 - (3x-1)]
= (3x + 1)(-3x + 3)
= -3(3x + 1)(x - 1)
2(3x + 1)² - (5 - x)(3x + 1)
= 2(3x + 1)(3x+1) - (5 - x)(3x + 1)
= (3x + 1)[2(3x + 1)-(5 - x)]
= (3x + 1)(7x - 3)
(x - 3)² - 1 - 2(x - 2)²
= x² - 6x + 9 - 1 - 2(x² - 4x + 4)
= x² - 6x + 9 - 1 - 2x² + 8x - 8
= -x² + 2x
= -x(x - 2)