Factorise 64x^6 - 729^6
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(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)
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