Question

HELP PLS!
Factor each completely. *Hint: Check for perfect square trinomials, difference of squares, and quadratic trinomials.
1) k^2+2k-24
2) 4k^2-1
3) 25b^2-30b+9

Answer 1

$1) \: {k}^{2} + 2k - 24 \\ = {k}^{2} + 6k - 4k - 24 \\ = k(k + 6) - 4(k + 6) \\ = (k - 4)(k + 6) \\ \\ 2) \: 4 {k}^{2} - 1 \\ = (2k - 1)(2k + 1) \\ \\ 3) \: 25 {b}^{2} - 30b + 9 \\ = {(5b - 3)}^{2}$