Have a query? Ask a Tutor!!

Access to best educators and exclusive paper discussions

Offsite Campus Turito Championship

Can’t find what you’re looking for?

Our tutors are from top schools around the world, and they are waiting for you 24/7, anytime, anywhere.

Homework- One to One Solutions
Understand concepts to solve better
Get your doubts solved instantly

Maths-

General

Easy

Question

If the LCM of f(x) and g(x) is $a to the power of 6 minus b to the power of 6$ , then their HCF can be ________.

hint Hint:

The expansion of the identity, $open parentheses a squared minus b squared close parentheses text is end text left parenthesis a minus b right parenthesis left parenthesis a plus b right parenthesis.$
We are asked to find the possible HCF of the given functions if their LCM is $a to the power of 6 minus b to the power of 6$ .

The correct answer is: the HCF of the functions can be: (a3 - b3) or (a3 + b3)

Step 1 of 1:
The given LCM is: $a to the power of 6 minus b to the power of 6$ .
Prime factorizing it, we have:
$a to the power of 6 minus b to the power of 6 equals open parentheses a cubed close parentheses squared minus open parentheses b cubed close parentheses squared$
$equals open parentheses a cubed minus b cubed close parentheses open parentheses a cubed plus b cubed close parentheses$
So, the HCF of the functions can be: $open parentheses a cubed minus b cubed close parentheses text or end text open parentheses a cubed plus b cubed close parentheses$

LCM × HCF = product of two numbers.

Related Questions to study

Create a flow chart to show the process to determine whether a given data set represents a function that is linear , quadratic , exponential or none of these.

Create a flow chart to show the process to determine whether a given data set represents a function that is linear , quadratic , exponential or none of these.

Solve for $cube root of 5 x end root equals 25$

Solve for $cube root of 5 x end root equals 25$

A Company’s profit from a certain product is represented by p(x)= -5x²+1 , 125x-5000, where x is the price of the product . Compare the growth in profits from x= 120 to 140 and from x= 140 to 160 , What do you notice ?

A Company’s profit from a certain product is represented by p(x)= -5x²+1 , 125x-5000, where x is the price of the product . Compare the growth in profits from x= 120 to 140 and from x= 140 to 160 , What do you notice ?

parallel

$3 square root of x plus 22 end root equals 21$ Solve for x

$3 square root of x plus 22 end root equals 21$ Solve for x

The formula $d equals fraction numerator square root of 15 W end root over denominator 3.14 end fraction$ gives the diameter d, in inches, of a rope needed to lift a weight of w, intons. How much weight can be lifted with a rope that has a diameter of 4in?

The formula $d equals fraction numerator square root of 15 W end root over denominator 3.14 end fraction$ gives the diameter d, in inches, of a rope needed to lift a weight of w, intons. How much weight can be lifted with a rope that has a diameter of 4in?

Describe how would you solve the equation . How is this solution method to be interpreted if the equation had been written in radical form instead?

Describe how would you solve the equation . How is this solution method to be interpreted if the equation had been written in radical form instead?

parallel

Determine whether the data are best modelled by a linear , quadratic or exponential function ?

Determine whether the data are best modelled by a linear , quadratic or exponential function ?

Neil said that – 3 and 6 are the solutions to $square root of 3 x plus 18 end root equals x$ . What error did Neil make?

Neil said that – 3 and 6 are the solutions to $square root of 3 x plus 18 end root equals x$ . What error did Neil make?

The owner of a farming store tracks the cost of bubble wrap for packing pictures like the one shown. How can you use the data to estimate the cost of the bubble wrap for a picture with a length of 75 in.

The owner of a farming store tracks the cost of bubble wrap for packing pictures like the one shown. How can you use the data to estimate the cost of the bubble wrap for a picture with a length of 75 in.

parallel

Determine whether the data are best modelled by a linear , quadratic or exponential function ?

Determine whether the data are best modelled by a linear , quadratic or exponential function ?

Do the data suggest a linear . quadratic or an exponential function ? Use regression to find a model for each data set.

Do the data suggest a linear . quadratic or an exponential function ? Use regression to find a model for each data set.

Determine whether a linear , quadratic or exponential function is the best model for the data in each table .

Determine whether a linear , quadratic or exponential function is the best model for the data in each table .

parallel

Determine whether a linear , quadratic or exponential function is the best model for the data in each table .

Determine whether a linear , quadratic or exponential function is the best model for the data in each table .

Give an example of a radical equation that has no real solutions. Explain your reasoning

Give an example of a radical equation that has no real solutions. Explain your reasoning

Kiyo used a quadratic function to model data with constant first differences . Explain the error kiyo Made .

Kiyo used a quadratic function to model data with constant first differences . Explain the error kiyo Made .

parallel

card img

With Turito Academy.

card img

With Turito Foundation.

card img

Get an Expert Advice From Turito.

Turito Academy

card img

With Turito Academy.

Test Prep

card img

With Turito Foundation.