Answer: So after solving and simplifying terms equation is[tex]x^4+10x^3-47x^2-360x+1296[/tex]
Step-by-step explanation: Given we have two equations f(x) =[tex]x^{2} +4x-32[/tex] and g(x) = [tex]x-4[/tex]
we have been asked to find ( f +g)(x) that is f(x)+g(x)
So first we add them [tex]x^{2} +4x-32 + x-4[/tex]
So we have an equation that is: [tex]x^{2} +5x-36[/tex]
Then we need to multiply both
[tex](x^2+5x-36)(x^2+5x-36)[/tex]
So we get[tex]\left(x^2+5x-36\right)^2[/tex]
Distribute parentheses
[tex]x^2x^2+x^2\cdot \:5x+x^2\left(-36\right)+5xx^2+5x\cdot \:5x+5x\left(-36\right)-36x^2-36\cdot \:5x-36\left(-36\right)[/tex]
On simplifying
[tex]x^4+10x^3-47x^2-360x+1296[/tex]
So standard form of result is [tex]x^4+10x^3-47x^2-360x+1296[/tex] .
Learn more about standard equation at brainly.com/question/14979161
#SPJ9
