Replace ∗ with a monomial so that the derived expression may be represented as a square of a binomial: * +14b+49

Mathematics

1 answer:

anyanavicka [17]3 years ago

7 0

Answer:

* = b²

Step-by-step explanation:

You know that the square of a binomial is of the form ...

(x + y)² = x² + 2xy + y²

Matching given terms, we have ...

49 = y²

2xy = 14b

Solving the first of these relations for y, we have

y = √49 = 7

Putting that in the second relation and solving for x, we find ...

2x·7 = 14b

14x = 14b

x = b

Then the first term of the expansion, x², will be b².

The missing term is b².

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