Question

1000x^3+1728y^3+512z^3-2880xyz. expand plss

Answer 1

1000x3+343y3

Final result :

(10x + 7y) • (100x2 - 70xy + 49y2)

Step by step solution :

Step 1 :

Equation at the end of step 1 :

(1000 • (x3)) + 73y3

Step 2 :

Equation at the end of step 2 :

(23•53x3) + 73y3

Step 3 :

Trying to factor as a Sum of Cubes :

3.1 Factoring: 1000x3+343y3

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 : 1000 is the cube of 10

Check : 343 is the cube of 7

Check : x3 is the cube of x1

Check : y3 is the cube of y1

Answer 2

Answer:

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