miraclelovesyouu
Please Help With Factoring.
81m^4 + 72m^2n +16n^2



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miraclelovesyouu
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Can Youu Explain Please.?

Kanwar245
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\[(9m ^{2}+4n)^{2}\]

miraclelovesyouu
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Still Not Understanding...

jeevan.sukh
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\[(a + b)^{2} = a ^{2} + 2ab + b ^{2}\]

cwrw238
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compare your expression with the one that jeevan posted

cwrw238
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a^2 = 81m^4
so a = 9m^2
now do the same with b^2 = 16n^2

miraclelovesyouu
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I Really Need An Explanation, Step To Step.

cwrw238
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can you see what b = ?


cwrw238
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having found b you substitute the values you ve found for a and b into
(a + b)^2

Mertsj
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dw:1362787677310:dw

Mertsj
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You must figure out numbers that will work. Numbers that when multiplied = 16

miraclelovesyouu
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Will The Answer Be 9m^2+8n)^2

Mertsj
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no 8 times 8 is not 16

cwrw238
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b^2 = 16n^2
take square root of both sides:
b = 4n

Luis_Rivera
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81m^(4)+72m^(2)*n+16n^(2)
81m^(4)+72m^(2)n+16n^(2)
(9m^(2)+4n)(9m^(2)+4n)
(9m^(2)+4n)^(2)

miraclelovesyouu
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Okay I Think I Get It.

cwrw238
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good

miraclelovesyouu
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Thank Youu.

cwrw238
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welcome