نفكيك التعابير الجبرية

3x² − 6x = 3x(x − 2)

= 3x × (x - 2)

(x - 2)(4x - 6) + 3x² - 6x

= (x - 2)(4x - 6) + 3x × (x - 2)

= (x - 2)(4x - 6 + 3x)

(4 + 3)x = 7x

4x − 28 = 4(x − 7)

= 4 × (x - 7)

(x - 7)(x - 3) + 4x - 28

= (x - 7)(x - 3) + 4 × (x - 7)

= (x - 7)(x - 3 + 4)

الحد الأول : (x - 7) × (2x - 2)

الحد الثاني : (x - 7) × (3x + 4)

(x - 7)(2x - 2) + (x - 7)(3x + 4) = (x - 7)((2x - 2) + (3x + 4))

معاملات x : 2 + 3 = 5

الثوابت : (-2) + (4) = 2

1x² − 6x = 1x(x − 6)

= 1x × (x - 6)

(x - 6)(5x + 4) + 1x² - 6x

= (x - 6)(5x + 4) + 1x × (x - 6)

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

(5 + 1)x = 6x

(2 - x)² = (2 - x) × (2 - x)

(2 - x)² = (−(x - 2)) × (2 - x) = −(x - 2)×(2 - x)

(x - 2)(2x + 3) - (2 - x)²

= (x - 2)(2x + 3) - (−(x - 2))×(2 - x)

= (x - 2)[(2x + 3) + (2 - x)]

3x² − 6x = 3x(x − 2)

= 3x × (x - 2)

(x - 2)(4x + 5) + 3x² - 6x

= (x - 2)(4x + 5) + 3x × (x - 2)

= (x - 2)(4x + 5 + 3x)

(4 + 3)x = 7x

(1 - x) = −(x - 1)

(x - 1)(5x - 5) - (1 - x)(2x + 3)

= (x - 1)(5x - 5) - (−(x - 1))(2x + 3)

= (x - 1)((5x - 5) + (2x + 3))

معاملات x : 5 − (-1×2) = 7

الثوابت : -5 − (-1×3) = -2

الحد الأول : (x - 6) × (5x - 5)

الحد الثاني : (x - 6) × (3x - 4)

(x - 6)(5x - 5) - (x - 6)(3x - 4) = (x - 6)((5x - 5) - (3x - 4))

معاملات x : 5 - 3 = 2

الثوابت : (-5) - (-4) = -1

(5 - x) = −(x - 5)

(x - 5)(2x + 3) - (5 - x)(3x + 2)

= (x - 5)(2x + 3) - (−(x - 5))(3x + 2)

= (x - 5)((2x + 3) + (3x + 2))

معاملات x : 2 − (-1×3) = 5

الثوابت : 3 − (-1×2) = 5

(6 - x) = −(x - 6)

(x - 6)(x - 2) - (6 - x)(5x - 3)

= (x - 6)(x - 2) - (−(x - 6))(5x - 3)

= (x - 6)((x - 2) + (5x - 3))

معاملات x : 1 − (-1×5) = 6

الثوابت : -2 − (-1×-3) = -5