Write y = x2 + 24x + 144 as a square of binomial.

Step-by-step explanation:

To write a quadratic equation into binomial form we can compare the equation into the completing square form of a quadratic equation like this ,

now since,

we can equate both the equations from left hand side to right hand side like this,

now we solve,

now we compare the coefficients of x^2:

now we compare the coefficients of x :

now we compare the constants , (constants are the letters which are not associated with any variable in this case the variable is x)

so now the value we got all the values for the completing square form we plug those in , a = 1 , h = -12 , k = 0 ,

this is the square of a binomial, if you want to verify if we expands this formula by the formula of (a + b)^2 we would get the same result. Thus this is the correct answer.