Question

Favtorise: xpower6 - 64​

Answer 1

Answer:

Step-by-step explanation:

Xto power6 -64

Xto power 6=64

So X=6√64

X=2

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Answer 2

Answer:

( x + 2 ) ( x - 2 ) ( x ^ 2 + 2x + 4 ) ( x ^ 2 - 2x + 4 )

Step-by-step explanation:

x ^ 6 - 64

= ( x ^ 3 + 8 ) ( x ^ 3 - 8 )

As a ^ 2 - b ^ 2 = ( a + b ) ( a - b )

= ( x + 2 ) ( x ^ 2 - 2x + 4 ) ( x - 2 ) ( x ^ 2 + 2x + 4 )

As a ^ 3 + b ^ 3 = ( a + b ) ( a ^ 2 - ab + b ^ 2 )

a ^ 3 - b ^ 3 = ( a - b ) ( a ^ 2 + ab - b ^ 2)

= ( x + 2 ) ( x - 2 ) ( x ^ 2 + 2x + 4 ) ( x ^ 2 - 2x + 4 )