Question

please help me to do this middle term factor​

Answer 1

Answer:

(p2 - 3q)2 - 16(p2 - 3q») - 63

Step-by-step explanation:

To resolve it into factors we first resolve 63

63=7×3×3

Given, x2 + (m + n)x + mn=(x + m)(x + n) … (2)

Comparing 1 and 2

m + n = -16

mn =63

∴ (1) can be written as

(p2-3q2)2 - 9(p2-3q2) - 7(p2-3q2) + 63

=[{(p2-3q2) - 9}{(p2-3q2) - 7}]

∴ the resolved factors are [{(p2-3q2) - 9}{(p2-3q2) - 7}]