Math, asked by ap169904, 6 months ago

factorize 64m^3+343n^3

Answers

Answered by electronicpower355

1

Answer:

Step-by-step explanation:

(4m-7m)[16m²+28mn+49n²]

Explanation:

_______________________

We know the algebraic identity:

a³-b³ = (a-b)(a²+ab+b²)

_______________________

Given

64m³ - 343n³

= (4m)³ - (7n)³

= (4m-7m)[(4m)²+(4m)(7n)+(7n)²]

= (4m-7m)[16m²+28mn+49n²]

Therefore,

64m³-343n³

= (4m-7m)[16m²+28mn+49n²]

Previous Question

Next Question

Similar questions

English, 3 months ago

what is a human values...

Math, 3 months ago

English, 3 months ago

the majority of the woman teachers are persuading the principle to consider their demands esme error kya he...

Math, 6 months ago

By what number should 17, 30,40,062 by divided to get 4,082 ?

English, 6 months ago

After a long vacation, your school is going to reopen in a couple of days. Write a diary entry describing your feelings about having to go to school again. In your diary entry you should say 1 how you feel now that your vacation is coming to an end 2 why you are excited not excited about having to go to school again 3 what preparations do you have to make to get ready for the school...

Physics, 11 months ago

The bob of a pendulum is positively charged.Another identical charge is placed at the point of suspension of the pendulum. The time period of pendulum...

Math, 11 months ago

The arithmetic mean of first n natural numbers is 6.The value of n is...

Physics, 11 months ago

Fill in the blanks on synthetic fibres and plastic...