Register
Find H.C.F of: 8x³ +27y³, 16x4 + 36x²y² + 81y4 and 4x³ - 6x²y + 9xy² ​
141k views
4 votes
Find H.C.F of: 8x³ +27y³, 16x4 + 36x²y² + 81y4 and 4x³ - 6x²y + 9xy² ​

User KumarM
by
7.8k points

1 Answer

2 votes

Answer:


4x^2-6xy+9y^2

Explanation:


8x^3 +27y^3=(2x+3y)(4x^2-6xy+9y^2)\\16x^4 + 36x^2y^2 + 81y^4=(4x^2+9y^2)^2-36x^2y^2=(4x^2+6xy+9y^2)(4x^2-6xy+9y^2)\\4x^3 - 6x^2y + 9xy^2=x(4x^2-6xy+9y^2)\\\\4x^2-6xy+9y^2\rightarrow HCF

User Terrorbox
by
7.9k points
Ask a Question
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

8.8m questions

11.4m answers

Other Questions

What is .725 as a fraction
A bathtub is being filled with water. After 3 minutes 4/5 of the tub is full. Assuming the rate is constant, how much longer will it take to fill the tub?
i have a field 60m long and 110 wide going to be paved i ordered 660000000cm cubed of cement  how thick must the cement be to cover field
Write words to match the expression. 24- ( 6+3)
A dealer sells a certain type of chair and a table for $40. He also sells the same sort of table and a desk for $83 or a chair and a desk for $77. Find the price of a chair, table, and of a desk.
Link Copied!