Question

Factorise 64x^6 - 729^6
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Answer 1

(2x+3y) ×(4x²-6xy+9y²)

Step-by-step explanation:

(64×(x⁶) ) -3⁶y⁶

2⁶x⁶ -3⁶y⁶

A²-B²=(A+B) (A-B)

64is square of 8

729 is square of 27

x⁶is square of x³

y⁶ is square of y⁶

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

=0+0+b³

=(8x³+27y³) × (8x³-27y³)

=(2x+3y) ×(4x²-6xy+9y²)