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b. x^2 - 5x + 7x - 35 = x^2 + 2x - 35
c. x^2 + 2x - 6x - 12 = x^2 - 4x - 12
d. 6x^2 - 4x - 9x + 6 = 6x^2 - 13x + 6
= (2x × x) (2x × 4) (3 ×x) (3 × 4)
= 2x² + 8x + 3x + 12
= 2x² + 11x + 12
b. (x + 7)(x - 5)
= (x × x) (x × -5) (7 × x) (7 × -5)
= x² - 5x + 7x - 35
= x² + 2x - 35
c. (x - 6)(x + 2)
= (x × x) (x × 2) (-6 × x) (-6 × 2)
= x² + 2x - 6x - 12
= x² - 4x - 12
d. (2x - 3)(3x - 2)
= (2x × 3x) (2x × -2) (-3 × 3x) (-3 × -2)
= 6x² - 4x - 9x + 6
= 6x² - 13x + 6