Question

The expression 4x2 + 12xy + (m + 5)y2 is a perfect square trinomial. What is the
value of m?​

Answer 1

Step-by-step explanation:

the value of m is 4 .

you can check

actually in the question it is already mention that the expression is a perfect square .

we got that

4x²+12xy+(m+5)y²

(2x)²+2.(2x).3y+(m+5)y²

so (3y)²=(m+5)y²

9y²=(m+5)y²

9=m+5

m=9-5

m=4