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Luda [366]
3 years ago
5

(2+1/2) (2^2-1+1/4) find the expression in the form of cubes and differences of two terms.​

Mathematics
2 answers:
Elden [556K]3 years ago
8 0

Answer:

<u>Consider the following identity:</u>

  • a³ - b³ = (a + b)(a² - ab + b²)

<u>Let a = 2, b = 1/2</u>

  • (2 + 1/2)(2² - 2*1/2 + 1/2²) =
  • 2³ - (1/2)³ =
  • 8 - 1/8
Kay [80]3 years ago
5 0

Use the algebraic identity given below

\boxed{\sf a^3-b^3=(a+b)(a^2-ab+b^2)}

\\ \sf\longmapsto (2+\dfrac{1}{2})(2^2-1+\dfrac{1}{4})

\\ \sf\longmapsto (2+\dfrac{1}{2})(2^2-2\times \dfrac{1}{2}+\dfrac{1}{2}^2)

  • Here a =2 and b=1/2

\\ \sf\longmapsto 2^3-\dfrac{1}{2}^3

\\ \sf\longmapsto 8-\dfrac{1}{8}

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Answer:

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The correct answer is A: 2.

The slope compares the vertical change (the rise) to the horizontal change (the run) when moving from one fixed point to another along the line.

If you look at your graph, it takes 2 units up and 1 unit to the right in order to get to the next point on the line.

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Anna11 [10]

Answer:

23/12 or 1 and 11/12

Step-by-step explanation:

Your first step is that you need to gain a common denomitor. In this scenario, this is 12. To get this, you can either go through the given factors such as 3 having the factors of 6, 9, and 12 and 4 having the factors of 8, and 12.

Another method is the multiply the two given denominators together, but there are certain instances where you shouldn't do that.

Now that you have a common denominator, you need to change the numerators to accomadate the denominators. For 3 to turn into 12, you need to multiply it by 4, thus you have to do the same to the numerator. For 4 to turn into 12, you need to multiply it by 3. This will give you these two new fractions:

8/12 + 15/12

Add the numerators to get 23/12 and then simplify the two numbers to get the mixed number of 1 and 11/12.

Hope this helps!

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