factorize 256a8 - b8
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Answer:
(16a^4 + b^4)(4a^2+b^2)(2a+b)(2a-b)
Step-by-step explanation:
=256a^8 - b^8
By a^2 - b^2
=(16a^4)^2 - (b^4)^2
=(16a^4 + b^4)(16a^4 - b^4)
=(16a^4 + b^4)[(4a^2)^2 - (b^2)^2]
=(16a^4 + b^4)(4a^2+b^2)(4a^2-b^2)
=(16a^4 + b^4)(4a^2+b^2)(2a+b)(2a-b)
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