Question 1199318


{{{(2m - 3)^2 - (8m^2 - 4)^2}}}


={{{4m^2 - 12m + 9 - (64m^4 - 64m^2 + 16)}}}

={{{4m^2 - 12m + 9 - 64m^4 + 64m^2 - 16}}}

={{{-64m^4 + 68m^2 - 12m - 7}}}

={{{-64m^4+16m^3+64m^2-28m-16m^3+4m^2+16m-7}}}

={{{(-64m^4-16m^3)+(16m^3+4m^2)+(64m^2+16m)-(28m+7)}}}

={{{-16m^3(4m+1)+4m^2(4m+1)+16m(4m+1)-7(4m+1)}}}

={{{(4m+1)(-16m^3+4m^2+16m-7)}}}

={{{(4m+1)(-(16m^3-4m^2-16m+7))}}}

={{{-(4m + 1) (16m^3 - 4m^2 - 16m + 7)}}}

={{{-(4m + 1) (16m^3+ 4m^2-14m- 8m^2 - 2m + 7)}}}

={{{-(4m + 1) ((16m^3+ 4m^2-14m)- (8m^2 + 2m -7))}}}

={{{-(4m + 1) (2m(8m^2+ 2m-7)- (8m^2 + 2m - 7))}}}

={{{-(4m + 1) (2m - 1) (8m^2 + 2m - 7)}}}