Question

Factor completely using the formula:
(i) 576 - p2 + 8pq - 16q2

Answer 1

Answer:

=(24 + p - 4q)(24 - p +4q)

Step-by-step explanation:

576 - $p^{2}$ + 8pq - 16$q^{2}$

=$24^{2}$ - $(p - 4q)^{2}$  [ Using the identity $a^{2}$ - 2a.b + $b^{2}$ = $(a - b)^{2}$]

=(24 + p - 4q)(24 - p +4q) [Using the identity $a^{2}$ - $b^{2}$ = (a + b)(a - b)]