Question

1/2(6+3p)-3/4(8-10p)
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Answer 1

`(6+3p)/(2) - (3)/(4) (8 - 10p) \\ \\ (6 + 3p)/(2) - (3(8-10p))/(4) \\ \\ (6+3p)/(2) - (3 * 2(4 - 5p))/(4) \\ \\ (6+3p)/(2) - (6(4-5p))/(4) \\ \\ (6+3p)/(2) - (3(4-5p))/(2) \\ \\ (6+3p - 3(4-5p))/(2) \\ \\ (3(2 +p - 4 + 5p)/(2) \\ \\ (3(2 + (p + 5p) - 4))/(2) \\ \\ (3(2+6p-4))/(2) \\ \\ (3 * 2 (1 + 3p-2))/(2) \\ \\ (3 * 2(3p - 1))/(2) \\ \\ (6(3p -1 )/(2) \\ \\ 3(3p - 1) \\ \\ Answer: \fbox {3(3p-1)}`