Expand the product (x - 2)^2 (x + 2)^2 (x - 3). What is the product of the nonzero coefficients of the resulting expression, including the constant ter
+130071 In steps
Note that (x + 2)^2 (x - 2)^2 can be written as
[ (x + 2) ( x - 2) ] ^2 = ( x^2 - 4]^2 = x^4 - 8x^2 + 16
So
(x - 3) (x^4 - 8x^2 + 16 ) =
(x^5 -8x^3 + 16x) + ( -3x^4 + 24x^2 - 48) =
1x^5 - 3x^4 - 8x^3 + 24x^2 + 16x - 48
Now we just need to multiply
(1) (-3) (-8) (24) (16) (-48) = -442368
