Chad was asked whether the following equation is an identity:
(3x + 2y)^2= (3x + 2y)(3x – 2y) + 2(2y)^2 ?
He performed the following steps:
(3x + 2y)
Step 1
= 922 + 4y
Step 2
9r? – 4y + 4y? – 4y
Step 3
(9x² – 44²) + 8y²

The equation is not an identity, because the term 12xy is missing

Step-by-step explanation:

Starting with the expression on the left of the identity, we operate to get an equivalent expression, as follows:

(3x + 2y)² =

= 9x² + 12xy + 4y² =

= 9x² + 12xy + 4y² - 4y² + 4y² =

= 9x² - 4y² + 12xy + 8y² =

= (3x - 2y)(3x + 2y) + 12xy + 2(2y)²

3333333333333333333333333333333333333333333333

step-by-step explanation:

the correct functions are

h(x) = 3x + 2  

g(x) = 2^x

step-by-step explanation:

i proceed to calculate the different values ​​of k (x)

case 1)  k(x) = g(x) ∘ h(x)

g(x) ∘ h(x)=g(h(x))

k(x) = [2]^[3x + > is the option  4. k(x) = 2^(3x + 2 )

case 2)  k(x) = g(x) + h(x)

k(x) = [2^x]+[3x + 2]=2^x+3x+> is the option  1.) k(x) = 2^x + 3x + 2

case 3)k(x) = h(x) ÷ g(x)

k(x) =  [3x + 2]/[2^x]=3x/(2^x)+2/(2^x)=3x*(2^-x)+2^(1-x)

is the option  3.)   k(x) = (3x)2^(-x) + 2^(-x + 1 )

case 4)k(x) = g(x) - h(x)

k(x) =  [2^x]-[3x + 2]=2^x-3x-> is the option  2.) k(x) = 2^x - 3x - 2 

case 5)  k(x) = g(x) × h(x)

k(x) = [2^x]*[3x + > is the option  5.) k(x) = 2^x(3x + 2)

case 6)k(x) = h(x) ∘ g(x)

h(x) ∘ g(x)=h(g(x))

k(x)=3*[2^x]+> is the option  6. k(x) = 3(2^x) +2