Question

Factorise: 98x^4 - 7x^2y^2 - y^4​

Answer 1

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)

•••♪

Answer 2

(√7x+y)(√7x-y)(14x²+y²)

Step-by-step explanation:

98x⁴ -7x²y² - y⁴

Splitting the middle value:

⇒ 98x⁴ - (14x²y² - 7x²y²) - y⁴

⇒ 98x⁴ - 14x²y² + 7x²y² - y⁴

Grouping two of them together:

⇒ (98x⁴ - 14x²y²) + ( 7x²y² - y⁴ )

Finding the common out of the two:

⇒ 14x² (7x²-y²) + y²(7x²-y²)

Grouping the factors together:

⇒  (7x²-y²) (14x²+y²)

⇒  [(√7x)²-y²] (14x²+y²)

Applying the formula: a²-b²= (a+b) (a-b)

⇒  (√7x+y)(√7x-y)(14x²+y²)

Learn more:

Factorise the following

brainly.in/question/6734488