x⁴-15x²y²+9y⁴.. (factorise)
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Answered by
0
Answer:
It can't be factorised.
Step-by-step explanation:
Answered by
1
Answer:
x⁴-15x²y²+9y⁴
=(x²)²-15x²y²+(3y²)²
= (x²)²-6x²y²-9x²y²+(3y²)²
= (x²)²+(3y²)²-6x²y²-9x²y²
= [(x²)²+(3y²)²-2.x².3y²]-(3xy)²
= (x²-3y²)²-(3xy)² [∵(a-b)²=a²+b²-2ab]
= (x²-3y²+3xy)(x²-3y²-3xy) [∵ a²-b²= (a+b)(a-b) ]
(x²-3y²+3xy)(x²-3y²-3xy)
is your answer
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