(4a+1)∧2-16a∧2(4a^2+1)^2-16a^2=(4a^2+4a+1)(4a^2-4a+1)怎么变成这样

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(4a+1)∧2-16a∧2(4a^2+1)^2-16a^2=(4a^2+4a+1)(4a^2-4a+1)怎么变成这样(4a+1)∧2-16a∧2(4a^2+1)^2-16a^2=(4a^2+4a+1

(4a+1)∧2-16a∧2(4a^2+1)^2-16a^2=(4a^2+4a+1)(4a^2-4a+1)怎么变成这样
(4a+1)∧2-16a∧2
(4a^2+1)^2-16a^2=(4a^2+4a+1)(4a^2-4a+1)怎么变成这样

(4a+1)∧2-16a∧2(4a^2+1)^2-16a^2=(4a^2+4a+1)(4a^2-4a+1)怎么变成这样
(4a^2+1)^2-16a^2
=(4a^2+1)^2-(4a)^2
=[(4a^2+1)+4a][(4a^2+1)-4a]
=(4a^2+4a+1)(4a^2-4a+1)
=(2a+1)^2*(2a-1)^2