n2 - 4 is the "difference of two squares." That factors to (n - 2)(n+2)
a2 + 2a + 1 is "additive squares." That factors to (a + 1)(a + 1) or (a + 1)2
-2x+12x+28=10x+28 ;Combining like factors2(5x+14) ; Factor out a two from both of them
You need to find factors whose sum is 10 and product is 25. Here, it is a square, and the number is 5. m^2 +10m +25 = (m+5)(m+5)
Are you asking us to 'factor' that expression ?Is that perhaps the question ?200 m4 + 80 m3 + 8m2=8m2 (25 m2 + 10m + 1) =8m2 (5m + 1) (5m + 1) =8m2 (5m + 1)2or[ 8m (5m + 1) ]2
5m
The other factor is 1.
(x-12)2 using perfect square
(a + 2b)(a + 2b)
factor the trinomial 16x^2+24x+9
Since the problem has 4 terms, first you factor x cubed plus 9x squared, then you factor 2x plus 18. So when you factor the first two term, you would get x sqaured (x plus 9). Then when you factor the last two terms and you get 2 (x plus 9). Ypure final answer would be (x squared plus 2)(x plus 9)
That does not factor neatly.
You can't factor it
Factor x2 plus 12xp plus 36p2 is (x+6p)(x+6p).