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Vikki [24]
3 years ago
14

A new office building in town has x2 + 4 floors. Each floor is 3x2 – 5 feet high. Which expression shows the total height of thi

s office building?
Mathematics
1 answer:
Rina8888 [55]3 years ago
6 0

Answer: 3x^{4}+7x^{2}-20

Step-by-step explanation:

1. You know that:

- The number of floors is given by the expression x^{2}+4.

- The height of each floor is given by the expression 3x^{2}-5.

2. Then, to find the expression that shows the total height of the office building, you must multiply the height of each floor by the number of floors. Therefore, you obtain the following result:

(x^{2}+4)(3x^{2}-5)=3x^{4}-5x^{2}+12x^{2}-20=3x^{4}+7x^{2}-20

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