13. Factorise a*8 - b*8
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Answered by
20
Answer:
Step-by-step explanation:
a⁸-b⁸
=(a⁴)²-(a⁴)²
=(a⁴+b⁴)(a⁴-b⁴)
=(a⁴+b⁴)((a²)²-(b²)²)
=(a⁴+b⁴)(a²+b²)(a²-b²)
=(a⁴+b⁴)(a²+b²)((a)²-(b)²)
=(a⁴+b⁴)(a²+b²)(a+b)(a-b)
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Answered by
5
(a*4)*2 - b(*4)*2
(a*4 + b*4) (a*4 - b*4)
(a*4 + b*4) [(a*2)*2 - (b*2)*2]
(a*4 + b*4) [(a*2 + b*2) (a*2 - b*2)]
(a*4 + b*4) (a*2 + b*2) (a+ b) (a - b)
(a*4 + b*4) (a*4 - b*4)
(a*4 + b*4) [(a*2)*2 - (b*2)*2]
(a*4 + b*4) [(a*2 + b*2) (a*2 - b*2)]
(a*4 + b*4) (a*2 + b*2) (a+ b) (a - b)
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