Fill in the empty spaces with monomials that make each equality into an indentity.
(4 - ...)^2 = 16-8a + ...

and

(3x − ...)^2 = 9x^2−6x+1

9514 1404 393

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

__

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

146%

step-by-step explanation: