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Find H.C.F of: 8x³ +27y³, 16x4 + 36x²y² + 81y4 and 4x³ - 6x²y + 9xy² ​

Find H.C.F of: 8x³ +27y³, 16x4 + 36x²y² + 81y4 and 4x³ - 6x²y + 9xy² ​
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Find H.C.F of: 8x³ +27y³, 16x4 + 36x²y² + 81y4 and 4x³ - 6x²y + 9xy² ​

User KumarM
by
8.2k points

1 Answer

2 votes

Answer:


4x^2-6xy+9y^2

Explanation:


8x^3 +27y^3=(2x+3y)(4x^2-6xy+9y^2)\\16x^4 + 36x^2y^2 + 81y^4=(4x^2+9y^2)^2-36x^2y^2=(4x^2+6xy+9y^2)(4x^2-6xy+9y^2)\\4x^3 - 6x^2y + 9xy^2=x(4x^2-6xy+9y^2)\\\\4x^2-6xy+9y^2\rightarrow HCF

User Terrorbox
by
8.3k points
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