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Help!

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-example-1
User German Lashevich
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1 Answer

15 votes
15 votes

Answer:

1

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

User Jacobo Azcona
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2.9k points