factorise x⁴-y⁴ hope to answer fast
Answers
Answered by
0
Answer:
x4-y4
(x2) 2-*(y2) 2
(x2+y2) (x2-y2)
(x2+y2) (x-y) (x+y)
Answered by
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(x² + y²)(x + y)(x - y)
Step-by-step explanation:
QUESTION :-
Factorise x⁴ - y⁴
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SOLUTION :-
We will use only one formula here,
a² - b² = (a + b)(a - b)*
Now,
x⁴ - y⁴ can be written as
(x²)² - (y²)²
=> (x² + y²)(x² - y²)
[by the above formula as a = x² & b = y²]
=> (x² + y²)(x + y)(x - y)
[using the formula written above, a = x, b = y]
hence,
The factorisation is (x² + y²)(x + y)(x - y).
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Hope it helps.
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