a¹²x⁴ - a⁴x¹² factorise
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Answer:
a⁴x⁴(a+b)(a-b)(a²+b²)(a⁴+b⁴)
Step-by-step explanation:
a¹²x⁴ - a⁴x¹²
=a⁴x⁴(a⁸- x⁸)
=a⁴x⁴(a⁴ - x⁴)(a⁴ + b⁴)
=a⁴x⁴(a² - b²)(a² + b²)(a⁴ + b⁴)
=a⁴x⁴(a + b)(a - b)(a² + b²)(a⁴ + b⁴)
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