Question

Please answer question number 19 and 21

Answer 1

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(1) H.C.F

( xy + x^2 ),( xy - x^2 ) , ( x^4 - x^2 y^2 )

= x ( y + x , y - x , x^3 - x y^2 )

H.C.F = x
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(2) H.C.F ( 36 x^2 y^3 , 32x^3 y^2 )

= 4x^2 y^2 ( 9y , 8 x )

H.C.F = 4 x^2 y^2
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L.C.M ( 36 x^2 y^3 , 32 x^3 y^2 )
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36 x^2 y^3 = 2 × 2 × 3 × 3 × x^2 × y^3

32 x^3 y^2= 2 × 2 × 2 × 2 × 2 × x^3 × y^2

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36 x^2 y^3 = 2^2 × 3^2 × x^2 × y^3

32 x^3 y^2 = 2^5 × x^3 × y^2

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Required

L.C.M = 2^5 × 3^2 × x^3 × y ^3

= 32 × 9 × x^3 × y^3

= 288 x^3 y^3
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