Question

factorise a⁴-(a-b)⁴​

Answer 1

Answer:

Changes made to your input should not affect the solution:

(1): "a4" was replaced by "a^4".

Step by step solution :

Step 1 :

1.1 Evaluate : (a-b)4 = a4-4a3b+6a2b2-4ab3+b4

Step 2 :

Pulling out like terms :

2.1 Pull out like factors :

4a3b - 6a2b2 + 4ab3 - b4 =

b • (4a3 - 6a2b + 4ab2 - b3)

Checking for a perfect cube :

2.2 4a3 - 6a2b + 4ab2 - b3 is not a perfect cube

Final result :

b • (4a3 - 6a2b + 4ab2 - b3)

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Answer 2

Answer:

Step-by-step explanation:

a⁴-(a-b)⁴​

(a²)² - (a-b²)²     (  a²-b²) = (a-b) (a+b)

(a²-(a-b)²)   (a² + (a-b)²)

(a-(a-b)) (a+(a-b))  (a² + (a-b)²)

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