Answer:
[tex]\implies f(x) = ( x + 2)^2[/tex]
Step-by-step explanation:
Given :-
And we need to rewrite the function by completing the square. The function is ,
[tex]\implies f(x) = x^2+8x + 4[/tex]
- We can rewrite the function in the form of ,
[tex]\implies ( a + b)^2= a^2+b^2+2ab [/tex]
Rewriting the function :-
[tex]\implies f(x) = x^2+8x + 4\\\\\implies f(x) = x^2 + 2.2.2x + 2^2[/tex]
- This is similar to the whole square form stated above . So ,
[tex]\implies f(x) = ( x + 2)^2[/tex]
Hence the function in whole square form is (x + 2)² .
