(2x + 6)(3x - 4) - 3(5x - 6)
= (2x(3x) - (2x(4) - (3x(6) - (6(4) - (3(5x) - 3(-6)
= 6x² - 8x - 18x - 24 - 15x + 18
= 6x² + 10x - 24 - 15x + 18
= 6x² + (10 - 15)x - 24 + 18
= 6x² + (-5x) - 6
= 6x² - 5x - 6
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Verified answer
(2x + 6)(3x - 4) - 3(5x - 6)
= (2x(3x) - (2x(4) - (3x(6) - (6(4) - (3(5x) - 3(-6)
= 6x² - 8x - 18x - 24 - 15x + 18
= 6x² + 10x - 24 - 15x + 18
= 6x² + (10 - 15)x - 24 + 18
= 6x² + (-5x) - 6
= 6x² - 5x - 6