Randy has 2 tennis balls,6 marbles,and 1 Orange in this desk drawer.what generalization can you make about these things

Sum of cubes: (a b)(a2 – ab b2) = a3 b3 Difference of cubes: (a – b)(a2 ab b2) = a3 – b3 Which products result in a sum or diffe

valentina_108 [34]

By comparing all the options with the formula of sum of cubes and difference of cubes we get that $(x+4)\left(x^{2}-4 x+16\right)$ is sum of cubes

<h3>What is formula of sum of cubes and difference of cubes?</h3>

Formula of sum of cubes and difference of cubes are following

$(a+b)(a^2 -ab +b^2) = a^3+ b^3 \\\\\\(a - b)(a^2+ ab+ b^2) = a^3 - b^3$

(a)

$(x-4) \left(x^{2}+4 x-16\right)\\=(x-4) \left(x^{2}+4 x-4^2\right)\\\\$

by comparison with formula we can say that this is neither sum or nor difference of cubes.

(b)

$(x-1)\left(x^{2}-x+1\right)\\=(x-1)\left(x^{2}-x+1^2\right)$

by comparison with formula we can say that this is neither sum nor difference of cubes.

(c)

$(x+1)(x-1)=x^{2}-1^{2}\\$

we can say that this is neither sum nor difference of cube as it's difference of squares.

(d)

$(x+4)\left(x^{2}-4 x+16\right)\\\\(x+4)\left(x^{2}-4 x+4^2\right)$

by comparison with formula this is equal to

$x^{3}+4^{3}\\$

Hence this is sum of cubes

(e)

$(x+4)\left(x^{2}+4 x+16\right)\\(x+4)\left(x^{2}+4 x+4^2\right)$

by comparison with formula we can say that this is neither sum nor difference of cubes.

By comparing all the options with the formula of sum of cubes and difference of cubes we get that $(x+4)\left(x^{2}-4 x+16\right)$ is sum of cubes

To know more about cubes visit: brainly.com/question/107100

8 0

2 years ago

Whats the most accurate estimation of 65 77

Gwar [14]

Addition: 70 + 80 = 150. You round 65 up because the ones digit is greater than and the same with 77.
Multiplication: Round up since both ones digits are bigger than 5. 70 x 80= 5600.

5 0

3 years ago

The pass marks pf a mathematics test is 75% what percentage is the fail marks?

photoshop1234 [79]

Answer:Marks below 75%

Step-by-step explanation:

Since the pass marks is 75%,the fail marks should be Marks below 75%

7 0

3 years ago

What is -4 the square root of 12 + the square root of 75 in simplist radical form?

Fofino [41]

Answer:

<u>The simplest radical form of this mathematical expression is - 3√3</u>

Step-by-step explanation:

1. Let's write in a mathematical expression the information given:

-4 the square root of 12 + the square root of 75

-4 (√12) + √75

-4 (√4 * 3) + (√25 * 3) (12 = 4 * 3 and 75 = 25 * 3)

-4 (2 √3) + 5 √3

-8 √3 + 5√3

- 3 √3

The result is- 3 square root of 3.

<u>The simplest radical form of this mathematical expression is - 3√3</u>

7 0

2 years ago

What is the greatest common factor of 16 and 48?

Anna11 [10]

Answer:

16

Step-by-step explanation:

We can list out each of the numbers' prime factors first before deciding their greatest common factor.

16: 2 × 2 × 2 × 2

48: 2 × 2 × 2 × 2 × 3

As you can see the bolded parts, these are the common factors of the two numbers. To find the greatest common factors, we just have to multiply all their common factors together.

Greatest common factor of 16 & 48: 2 × 2 × 2 × 2 = 16

7 0

3 years ago

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