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taurus [48]
3 years ago
8

Find the value of c such that the expression is a perfect square trinomial

Mathematics
1 answer:
Alika [10]3 years ago
6 0

Answer:

c = 4

Step-by-step explanation:

In a perfect square trinomial, the following relationship is true:

(x+y)^2=x^2+2xy+y^2

In order for the given expression to be a perfect square trinomial:

x^2=x^2\\4x=2xy\\c=y^2

Solving for 'c':

4x=2xy\\y=2\\c=y^2=2^2\\c=4

Therefore, c must be equal to 4.

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