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(5x - 2)(4x - 7)
5x(4x) + 5x(- 7) - 2(4x) - 2(- 7)
20x² - 35x - 8x + 14
20x² - 43x + 14
Yang B
(3a - 4b)²
(3a - 4b)(3a - 4b)
3a(3a) + 3a(- 4b) - 4b(3a) - 4b(- 4b)
9a² - 12ab - 12ab + 16b²
9a² - 24ab + 16ab²
Yang C
(3b - 2)² - (b - 3)²
[(3b - 2)(3b - 2)] - [(b - 3)(b - 3)]
[3b(3b) + 3b(- 2) - 2(3b) - 2(- 2)] - [b(b) + b(- 3) - 3(b) - 3(- 3)]
[9b² - 6b - 6b + 4] - [b² - 3b - 3b + 9]
[9b² - 12b + 4] - [b² - 6b + 9]
9b² - 12b + 4 - b² + 6b - 9
(9b² - b²) + (- 12b + 6b) + (4 - 9)
8b² + (- 6b) + (- 5)
8b² - 6b - 5
b) (3a-4b) (3a-4b) = 9a^2-12ab-12ab+16b^2
=9a^2-24ab+16b^2
c) (3b-2) (3b-2) - (b-3) (b-3)
=9b^2-6b-6b+4 - b^2-3b-3b+9
=10b^2-12b+13-6b
=10b^2-18b+13