(x-y)²×(x+y)² = ?
whats the answer?
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2
Step-by-step explanation:
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Answered by
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Answer:
(x²-y²)²
Step-by-step explanation:
Using basic mathematics rule,
While opening the brackets,
=>(x-y)²x(x+y)²
=>( x²+y²-2xy)(x²+y²+2xy)
Let,
x²+y²=A
then the equation is,
=>(A-2xy)(A+2xy)
====>>> This is of the form,
(a+b)(a-b)
=> a²-b²
=> A² -4x²y²
since, A= x²+y²
so,
=>(x²+y²)²-4x²y²
=> x^4+y^4+x²2y²-4x²y²
=> x^4+y^4-2x²y²
=> and as this satisfy above equations,
we get,
=> (x²-y²)²
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