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the value of c that makes the expression a perfect square binomial is c=4 .
<u>Step-by-step explanation:</u>
Here we have , an expression x2 + 4x + c or , . We need to find the value of c that makes the expression a perfect square binomial. Let's find out:
We have ,
⇒
⇒
Now , we know that
Comparing above equation , to we get ;
⇒ {
}
⇒
⇒
Therefore , the value of c that makes the expression a perfect square binomial is c=4 .