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sergiy2304 [10]
2 years ago
11

Which expression is a difference of cubes?

Mathematics
1 answer:
Tanzania [10]2 years ago
8 0

Answer:

Option 4 is correct.

Step-by-step explanation:

Given the following options

we have to choose the difference of cubes.

Option 1:

9w^{33}-y^{12}

9(w^{11})^{3}-(y^4)^3

which is not the difference of cubes

Option 2:

18p^{15}-q^{21}

18(p^5)^3-(q^7)^3

which is not the difference of cubes

Option 3:

36a^{22}-b^{16}

(6a^{11})^2-(b^8)^2

which is the difference of square

Option 4:

64c^{15}-a^{27}

(4c^5)^3-(a^9)^3

which is the difference of cubes.

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Scott wants to cover his patio with concrete pavers. If the patio is shaped like a trapezoid whose bases are 11 feet and 13 feet
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<u><em>Answer:</em></u>

Scott will need 168 ft² of pavers to cover his patio

<u><em>Explanation:</em></u>

Scott wants to cover a trapezoid-shaped patio

<u>This means that:</u>

To get the number of square feet of pavers he'll need, we need to get the area of his patio

<u>Area of trapezium id calculated as follows:</u>

Area = \frac{base_{1}+base_{2}}{2} * height

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<u>We now substitute with the givens to get the area as follows:</u>

Area = \frac{11+13}{2} * 14 = 168ft^2

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Scott will need 168 ft² of pavers to cover his patio

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