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3 years ago

Give an example of a rule for a pattern. List a set of numbers that fit the pattern.

Mathematics

1 answer:

Jlenok [28]3 years ago

7 0

In this pattern , the numbers are doubling..
2,4,6,8,10...

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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

1 year ago

The equation g(x) = f(x + 2) is graphed on a coordinate plane. Which equation, h(x), results from moving g(x) to the right 2 uni

Archy [21]

Answer: D

Step-by-step explanation:

5 0

2 years ago

Two linear functions, f(x) and g(x), are combined by addition to form h(x). The same two linear functions are combined by multip

weqwewe [10]

Answer: this is the right answer Graph A represents j(x). The y-intercepts for f(x) and g(x) can be 1 and 3. And The rate of change of the sum of f(x) and g(x) is greater than that of either function. your welcome

Step-by-step explanation:

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3 years ago

Solve for the roots in simplest form using the quadratic formula:

Softa [21]

Step-by-step explanation:

4x² - 12x + 17 = 0

i is an imaginary number and it equals √-1, and you usually put it when the number under the root is negative.

So √-5 = √5i and √-4 = 2i

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2 years ago

The line that passes through the points (9,1) and (5,5) intersects the y-axis at (0,5).

Ilia_Sergeevich [38]

The stament are true I think

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3 years ago