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

4m^6 - 16p^10

=> 4(m^6-4p^10)

=> 4[(m³)²-(2p^5)²].
${x}^{2} - {y}^{2} = (x + y)(x - y)$

=> 4[m³-2p^5] [m³+2p^5]

d) option is correct

(2m³-4p^5)(2m³+4p^5)

=> 2(m³-2p^5) 2(m³+2p^5)

=> 4(m³-2p^5)(m³+2p^5)

hope this helps