Question

factorise a⁴-b⁴............​

Answer 1

Step-by-step explanation:

$a ^{4} -b {}^{4 }$

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

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

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

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Answer 2

$a {}^{4} −b {}^{4} </p><p></p><p>= (a^{ {}^{2} }) {}^{2} - (b {}^{2}) {}^{2} \\ =(a2)2−(b2)2 \\ </p><p></p><p>= (a ^{2} - b {)}^{2} (a {}^{2} + b {}^{2})=(a2−b)2(a2+b2)</p><p></p><p>= (a + b)(a - b)(a {}^{2} + b {}^{2}) \\ =(a+b)(a−b)(a {}^ 2+b {}^ 2)</p><p></p><p></p><p></p><p>$

FINAL ANSWER :

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