Question

please find the value of c that makes the expression a perfect square trinomial, then write the expression as a square of a binomial x^2+12x+c

Answer 1

for a perfect square (x +a)^2 the expansion is x^2 + 2ax + a^2

in your question 2a = 12

so a = 6

a^2 = (6)^2

= 36

for the perfect square in your question c must equal 36