if (4x²+1)(2x+1)(2x-1) = 4095. Find (x²+3)(x+2)(x-2)?
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Step-by-step explanation:
(4x2+1)(2x+1)(2x-1)
=(4x^2+1)(4x^2-1) as (2x+1)(2x-1)=4×^2-1
= 16x^2-1=4095
=16x^2=4096
x^2=256
x=16
(×^2+3)(×+2)(×-2) = (×^2+3)(×^2-4)
= (256+3)(256-4)
=259×252
=65268
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