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3 years ago

Factorise polynomial 27y3 + 125z3

Mathematics

1 answer:

tresset_1 [31]3 years ago

6 0

Answer:

$27y^{3} +125z^{3} =(3y)^{3} +(5z)^{3}$

Apply the formula for sum of cubes: $a^{3}+b^{3}=(a+b)(a^{2}-ab+b^{2})$

Therefore:

$\left(3y\right)^3+\left(5z\right)^3=\left(3y+5z\right)\left(3^2y^2-3\cdot \:5yz+5^2z^2\right)$

$=\left(3y+5z\right)\left(9y^2-15yz+25z^2\right)$

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Solve :1/1-x^a-b +1/1-x^b-a

Olegator [25]

Answer:

Step-by-step explanation:

$\frac{1}{1-x^{a-b}}+\frac{1}{1-x^{b-a}}\\\\\frac{1}{1-x^{b-a}}=\frac{1}{1-x^{-(a-b)}}=\frac{1}{1-\frac{1}{x^{a-b}}}\\=\frac{1}{\frac{x^(a-b)-1}{x^(a-b)}}=\frac{x^{a-b}}{x^{a-b}-1}\\\\=\frac{x^{a-b}}{-(1-x^{a-b})}=-\frac{x^{a-b}}{1-x^{a-b}}\\\\\frac{1}{1-x^{a-b}}+\frac{1}{1-x^{b-a}}=\frac{1}{1-x^{a-b}}-\frac{x^{a-b}}{1-x^{a-b}}\\\\=\frac{1-x^{a-b}}{1-x^{a-b}}=1$

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3 years ago

A single-celled organism is represented below. Structure X carries out a function most similar to which structure in a human?

tester [92]

Answer: lung

Step-by-step explanation:

Attachedfile/picture shows the structure.

Respiration is a process of degradation of complex organic compound with the production of carbon dioxide, water and energy.

Respiration involves two phases, which are;

(1). External Respiration or Breathing: this is a process in which

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Single celled animals or unicellular animals such as amoeba exchange gases through cell surface. The STRUCTURE X IS THE PLASMA MEMBRANE. There is absorption of of Oxygen from the surrounding air or water,hence, giving out carbondioxide through plasma membrane by Diffusion.

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4 0

4 years ago

Find each function value. f(9) if f(x)=5x-16

andriy [413]

If f(x) = 5x - 16, then value of f(9) is 29

<em><u>Solution:</u></em>

Given function is f(x) = 5x - 16

We are asked to find the value of f(9)

To find the value of f(9), we have to substitute x = 9 in given function and solve the function

Therefore, substitute x = 9

f(x) = 5x - 16

f(9) = 5(9) - 16

Multiply 5 with 9 which gives 45

f(9) = 45 - 16

Subtract 16 from 45

f(9) = 29

Thus value of f(9) is 29

6 0

3 years ago

A bike wheel is 26 inches in diameter. What is the bike wheel's diameter in millimeters (1 inch = 25.4 millimeters)?

Papessa [141]

Answer: 26 inches is equivalent to 660.4 millimeters.

Step-by-step explanation:

You will multiply the inches by the conversion.

$26in*25.4mm=660.4mm$

Therefore, the answer is 660.4 millimeters.

I hope this helps!! Pls mark brainliest :)

8 0

3 years ago

Use the product to sum formulas to write the product as a sum or difference

alina1380 [7]

Ok can you please show the formula or give more information please

6 0

3 years ago

Factorise polynomial 27y3 + 125z3​

Factorise polynomial 27y3 + 125z3