Answer :
(x+4)²= (x+4)×(x+4)
Use the FOIL method to simplify
F=First (multiply the first number of each expression)
O=Outside (multiply the outside edges of each expression)
I= Inside (multiply the inside edges of each expression)
L= Last (multiply the last number of each expression)
x times x= x²
x times 4= 4x
4 times x= 4x
4 times 4= 16
Add them together, we have: x²+4x+4x+16
We can simplify this by adding like terms
4x+4x=8x
Final expression= x² + 8x + 16
Use the FOIL method to simplify
F=First (multiply the first number of each expression)
O=Outside (multiply the outside edges of each expression)
I= Inside (multiply the inside edges of each expression)
L= Last (multiply the last number of each expression)
x times x= x²
x times 4= 4x
4 times x= 4x
4 times 4= 16
Add them together, we have: x²+4x+4x+16
We can simplify this by adding like terms
4x+4x=8x
Final expression= x² + 8x + 16
[tex](x+4)^2 = x^2 + 2(x)(4) + 4^2 .....................(By-identity) \\ \\ => x^2 + 8x + 16[/tex]
