Question

Разложите на множители: 0,25a^4 − 64

Answer 1

$0.25 {a}^{4} - 64 = 0,25((a^2)^2 - 16^2) = 0,25(a^2 - 16)(a^2 + 16) = 0,25(a-4)(a+4)(a^2 +16)$

Answer 2

$0.25 {a}^{4} - 64 = (0.5a) ^{2} - {8}^{2} = \\ = (0.5a ^{2} - 8)(0.5a ^{2} + 8) = \\ = 0.5 ( a^{2} - 4 ^{2} ) (0.5a ^{2} + 8) = \\ = 0.5(a - 4)(a + 4)(0.5 {a}^{2} + 8) = \\ = 0.25(a - 4)(a + 4)( {a}^{2} + 16)$