Math, asked by vedant727, 10 months ago

x^3 ➕ y^3 please answer the question immediately ​

Answers

Answered by abigail30
0

Step-by-step explanation:

send me the pic n I will solve

Answered by sreenidhijan2007
0

Answer:

(x3+y3)

Final result :

(x + y) • (x2 - xy + y2)

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "y3" was replaced by "y^3". 1 more similar replacement(s).

Step by step solution :

Step 1 :

Trying to factor as a Sum of Cubes :

1.1 Factoring: x3+y3

Theory : A sum of two perfect cubes, a3 + b3 can be factored into :

(a+b) • (a2-ab+b2)

Proof : (a+b) • (a2-ab+b2) =

a3-a2b+ab2+ba2-b2a+b3 =

a3+(a2b-ba2)+(ab2-b2a)+b3=

a3+0+0+b3=

a3+b3

Check : x3 is the cube of x1

Check : y3 is the cube of y1

Factorization is :

(x + y) • (x2 - xy + y2)

Trying to factor a multi variable polynomial :

1.2 Factoring x2 - xy + y2

Try to factor this multi-variable trinomial using trial and error

Factorization fails

Final result :

(x + y) • (x2 - xy + y2)

Processing ends successfully

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