factorise:98x^4-7x^2y^2-y^4
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Answer:
(√7x+y)(√7x-y)(14x²+y²)
Step-by-step explanation:
98x⁴ -7x²y² - y⁴
= 98x⁴ - 14x²y² + 7x²y² - y⁴
= 14x²(7x²-y²)+y²(7x²-y²)
= (7x²-y²)(14x²+y²)
= [(√7x)²-y²](14x²+y²)
= (√7x+y)(√7x-y)(14x²+y²)
Therefore,
98x⁴ -7x²y² - y⁴
= (√7x+y)(√7x-y)(14x²+y²)
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