Mathematics
Simplify:
(5 - x) (6 - 5x) (2 - x).
Algebraic Expressions
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Answer
(5 - x) (6 - 5x) (2 - x)
= [5 (6 - 5x) - x (6 - 5x)](2 - x)
= [30 - 25x - 6x + 5x(1+1)](2 - x)
= [30 + (- 25x - 6x) + 5x2](2 - x)
= [30 - 31x + 5x2](2 - x)
= 2 (30 - 31x + 5x2) - x (30 - 31x + 5x2)
= 60 - 62x + 10x2 - 30x + 31x(1+1) - 5x(2+1)
= 60 - 62x + 10x2 - 30x + 31x2 - 5x3
= 60 + (- 62x - 30x) + (10x2 + 31x2) - 5x3
= 60 - 92x + 41x2 - 5x3
Hence, (5 - x) (6 - 5x) (2 - x) = 60 - 92x + 41x2 - 5x3
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