Express as a polynomial. (3x+2y)^{2}(3x-2y)^{2}

midtlinjeg 2021-03-24 Answered
Express as a polynomial.
(3x+2y)2(3x2y)2
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Expert Answer

escumantsu
Answered 2021-03-26 Author has 98 answers
Step 1
We know the identity that,
(ab)(a+b)=a2b2...(1)
(ab)2=a2+b22ab...(2)
We have the given expression as
(3x+2y)2(3x2y)2
By using identity given by equation (1), we get value of expression as
(3x+2y)2(3x2y)2=[(3x+2y)(3x2y)]2
=[(3x)2(2y)2]2
=(9x24y2)2
Step 2
By using identity given by equation (2), we get value of expression as
(3x+2y)2(3x2y)2=(9x24y2)2
=(9x2)2+(4y2)22(9x)(4y)
=81x4+16y472x2y2
Hence, expression (3x+2y)2(3x2y)2 in polynomial form is represented as 81x4+16y472x2y2.
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