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Fill in the empty spaces with monomials that make each equality
into an
indentity.
(3x - ...)? = 9x2 - 6x +1

Help Fill In The Empty Spaces With Monomials That Make Each Equality Into An Indentity 3x 9x2 6x 1 class=

Sagot :

sqdancefan

Answer:

  1

Step-by-step explanation:

The square of the value in the empty space is the constant in the expanded expression. That is ...

  [ ]² = 1

The value in the space is ...

  [ ] = √1 = 1

The filled-in equation is ...

  (3x -1)² = 9x² -6x +1

_____

The expansion of the square of a binomial is ...

  (ax -b)² = a²x² -2abx +b²

Above, we used the constant term to find 'b', but we could also have used the linear term:

  -6x = -2(3)bx . . . . . a=3 in this problem

  1 = b . . . . . . . divide by -6x

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