Question

8 x3 - 125y 3answer ??​

Answer 1

Answer:

Step-by-step explanation:

(8 • (x3)) - 53y3

23x3 - 53y3

Factoring: 8x3-125y3

Theory : A difference 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 : 8 is the cube of 2

Check : 125 is the cube of 5

Check : x3 is the cube of x1

Check : y3 is the cube of y1

Factorization is :

(2x - 5y) • (4x2 + 10xy + 25y2)

Factoring 4x2 + 10xy + 25y2

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

FINAL RESULT:

(2x - 5y) • (4x2 + 10xy + 25y2)