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3241004551 [841]
2 years ago
12

Factor completely: x^3−64 A (x−4)3 B (x−4)(x+4)2 C (x−4)(x2+4x+16) D (x+4)(x2−4x+16)

Mathematics
1 answer:
juin [17]2 years ago
6 0

Answer: C

Step-by-step explanation:

This is the standard difference of cubes factorization.

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<span>We can safely assume that 1212 is a misprint and the number of seats in a row exceeds the number of rows by 12. Let r = # of rows and s = # of seats in a row. Then, the total # of seats is T = r x s = r x ( r + 12), since s is 12 more than the # of rows. Then r x (r + 12) = 1564 or r**2 + 12*r - 1564 = 0, which is a quadratic equation. The general solution of a quadratic equation is: x = (-b +or- square-root( b**2 - 4ac))/2a In our case, a = 1, b = +12 and c = -1564, so x = (-12 +or- square-root( 12*12 - 4*1*(-1564) ) ) / 2*1 = (-12 +or- square-root( 144 + 6256 ) ) / 2 = (-12 +or- square-root( 6400 ) ) / 2 = (-12 +or- 80) / 2 = 34 or - 46 We ignore -46 since negative rows are not possible, and have: rows = 34 and seats per row = 34 + 12 = 46 as a check 34 x 46 = 1564 = total seats</span>
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3 years ago
Simplify 3(2x^4*y^5)^2/(6x^3*y^3)^6
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Answer:

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Step-by-step explanation:

Hope it helps!

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