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= (x+4y)(x+4y)
= x^2 + 4xy + 4xy + 16y^2
= x^2 + 16y^2 + 8xy
b. (x-4y)^2
= (x-4y)(x-4y)
= x^2 - 4xy - 4xy + 16y^2
= x^2 + 16y^2 - xy
c. (2x-1)^3
= (2x-1)(2x-1)(2x-1)
= (4x^2 - 2x - 2x + 1)(2x-1)
= 8x^3 - 4x^2 - 4x^2 + 2x - 4x^2 + 2x + 2x - 1
= 8x^3 - 12x^2 + 6x -1
d. (2xy)^2
= (2xy)(2xy)
= 4xy^2
e. (4p^2q)^2
= (4p^2q)(4p^2q)
= 16p^4q^2