Объяснение:
(4a+c)² + (4ac-1)² – (4a-c)²)=
=(4a+c)²-(4a-c)² + (4ac-1)²=
=((4a+c-(4a-c))(4a+c+4a-c) + (4ac-1)²=
=(4a+c-4a+c)*8a +16a²c²-8ac+1=
=2c*8a + 16a²c²-8ac+1=
=16ac+16a²c²-8ac+1=
=16a²c²+8ac+1=
=(4ac+1)²=(4ac+1)(4ac+1)
Объяснение:
(4a+c)² + (4ac-1)² – (4a-c)²)=
=(4a+c)²-(4a-c)² + (4ac-1)²=
=((4a+c-(4a-c))(4a+c+4a-c) + (4ac-1)²=
=(4a+c-4a+c)*8a +16a²c²-8ac+1=
=2c*8a + 16a²c²-8ac+1=
=16ac+16a²c²-8ac+1=
=16a²c²+8ac+1=
=(4ac+1)²=(4ac+1)(4ac+1)