Question

(x+y)^4 - (x-y)^4 factorize it​

Answer 1

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hemant7237

02.11.2018

Math

Secondary School

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(x+y)4-(x-y)4 factorisation

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Answer

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nitishray57

Expert

232 answers

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Hi. friends here is your factorisation.

=(x+y)4-(x-y)4

=4(x+y-x+y)

=4(2y)

=8y

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28

bibiborkataki12

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159 answers

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(x+y)^4 - (x-y) ^4

={(x+y)²}² - {(x-y)²}²

We know that a²-b² =(a+b)(a-b)

So,

{(x+y)² +(x-y)²}{(x+y)²-(x-y)²}

={(x²+2xy+y²)+(x²-2xy+y²)}{(x²+2xy+y²)-(x²-2xy+y²)}

=(x²+2xy+y²+x²-2xy+y²)(x²+2xy+y²-x²+2xy-y²)

=(2x²+2y²)(4xy)

=2(x²+y²)(4xy)

=8xy(x²+y²)

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Answer 2

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