answer the above question
it's factorisation
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Here is your answer, refer to the attatchment
Hope it helps!
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Answer:
[x² + (y - 1)²] [(x - y + 1)(x + y - 1)]
Step-by-step explanation:
Given : x⁴ - (y - 1)⁴
We can write this as :
→ (x²)² - [(y - 1)²]²
Identity : a² - b² = (a + b)(a - b)
Here, a = x², b = (y - 1)²
→ [x² + (y - 1)²] [x² - (y - 1)²]
We can write this as :
→ [x² + (y - 1)²] [(x)² - (y - 1)²]
Identity : a² - b² = (a - b)(a + b)
Here, a = x, b = y - 1
→ [x² + (y - 1)²] {[x - (y - 1)] [x + (y - 1)]}
→ [x² + (y - 1)²] [(x - y + 1)(x + y - 1)]
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