Question

factorise 8x²-729 pliss answer tell me​

Answer 1

Answer:

Factoring: 8x3-729

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 : 729 is the cube of 9

Check : x3 is the cube of x1

Factorization is :

(2x - 9) • (4x2 + 18x + 81