9514 1404 393
Answer:
Step-by-step explanation:
The form you're trying to match is ...
(p +q)^2 = p^2 +2pq +q^2
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a) We can see that p = 4 and ...
2pq = -8a
2·4·q = -8a . . . . . use the known value of p
q = -a . . . . . . . . . divide by 8
So, the identity is ...
(4 -a)^2 = 16 -8a +a^2
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b) We see that p=3x, 2pq = -6x, and q^2 = 1. As above, we conclude ...
2(3x)q = -6x
q = -1 . . . . . consistent with q^2 = 1
The identity is ...
(3x -1)^2 = 9x^2 -6x +1
