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One container ship has a volume of (2x - 5)^4, and another containership has a volume of (4x + 3)^5. How much larger is the second ship?

User Heinistic
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Final answer:

To compare the volumes of the two ships, we can expand the expressions and compare the resulting terms. The second ship's volume is 1024 times larger than the first ship's volume.

Step-by-step explanation:

To find out how much larger the second ship is, we need to compare the volumes of both ships. The volume of the first ship is (2x - 5)^4 and the volume of the second ship is (4x + 3)^5. To compare the volumes, we can expand both expressions and compare the resulting terms.

Expanding (2x - 5)^4 gives: 16x^4 - 160x^3 + 600x^2 - 1000x + 625

Expanding (4x + 3)^5 gives: 1024x^5 + 3072x^4 + 3456x^3 + 1728x^2 + 432x + 81

Comparing the coefficients of the highest degree terms, we see that the second ship's volume is 1024 times larger than the first ship's volume. Therefore, the second ship is 1024 times larger than the first ship.

User Ycenycute
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