Question

Factor 4m^6-16p^10:

A. (2m^3 - 4p^5)^2

B. (2m^3 + 4p^5)^2

C. (2m^3 - 4p^5) (2m^3 - 4p^5)

D. (2m^3 - 4p^5) (2m^3 + 4p^5)

Answer 1

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Q. Factorize ( 4 m^ 6 - 16 p^ 10 ).

Solution : ( 4 m^6 - 16 p^10 )

              = ( 2 m^3 ) ^ 2  - ( 4 p^5 ) ^ 2

Let ( 2 m^3 ) = A and ( 4 p^5 ) = B.

              = A^2 - B^2

              = ( A + B ) ( A - B )            ---------------------equation 1.

By putting the value of A and B in equation 1,

             = ( 2 m^3 + 4 p^5 ) ( 2 m^3 - 4 p^ 5 )

So, the solution for your answer is option ( d ).


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