Question

factorise a⁶-b⁶
please solve this question​

Answer 1

Answer:

Answer is given in the attachment.

Step-by-step explanation:

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Answer 2

Answer :

$( {a}^{2} + {b}^{2} )( {a}^{2} - ab + {b}^{2} )(a - b)( {a}^{2} + ab + {b}^{2} )$

Step-by-step explanation:

${a}^{6} - {b}^{6}$

$( { {a}^{3} })^{2} - ({ {b}^{3} })^{2}$

Since,

${a}^{2} - {b}^{2} = (a - b)(a + b)$

Therefore,

$( {a}^{3} - {b}^{3} )( {a}^{3} + {b}^{3} )$

As we know that,

${a}^{3} - {b}^{3} = (a - b)({a}^{2} + ab + {b}^{2} )$

${a}^{3} + {b}^{3} = (a + b)( {a}^{2} - ab + {b}^{2} )$

Now,

$( {a}^{3} - {b}^{3} )( {a}^{?} + {b}^{3} ) = (a - b)( {a}^{2} + ab + {b}^{2} )(a + b)( {a}^{2} - ab + {b}^{2} )$