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Lina Stein
Mathematics
23 May, 04:46
Multiply 2 (x+3) / x (x-1) * 4x (x+2) / 10 (x+3)
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Boo Bear
23 May, 04:58
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(4 (x - 1) (x + 3) ^2 (x + 2)) / 5
Step-by-step explanation:
Simplify the following:
(2*4 x (x + 3) (x - 1) (x + 2) (x + 3)) / (10 x)
((x - 1) * 4*2 (x + 3) x (x + 2) (x + 3)) / (x*10) = x/x * ((x - 1) * 4*2 (x + 3) (x + 2) (x + 3)) / 10 = ((x - 1) * 4*2 (x + 3) (x + 2) (x + 3)) / 10:
(4*2 (x - 1) (x + 3) (x + 2) (x + 3)) / 10
The gcd of 4 and 10 is 2, so ((x - 1) * 4*2 (x + 3) (x + 2) (x + 3)) / 10 = ((2*2) 2 (x - 1) (x + 3) (x + 2) (x + 3)) / (2*5) = 2/2 * (2*2 (x - 1) (x + 3) (x + 2) (x + 3)) / 5 = (2*2 (x - 1) (x + 3) (x + 2) (x + 3)) / 5:
(2*2 (x - 1) (x + 3) (x + 2) (x + 3)) / 5
Combine powers. (2*2 (x - 1) (x + 3) (x + 2) (x + 3)) / 5 = (2*2 (x - 1) (x + 3) ^ (1 + 1) (x + 2)) / 5:
(2*2 (x + 3) ^ (1 + 1) (x - 1) (x + 2)) / 5
1 + 1 = 2:
(2*2 (x - 1) (x + 3) ^2 (x + 2)) / 5
2*2 = 4:
Answer: (4 (x - 1) (x + 3) ^2 (x + 2)) / 5
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