Expand and simplify. (x+4)squared

(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

\( (x+4)^2 = x^2 + 2(x)(4) + 4^2.(By-identity) \\ \\ => x^2 + 8x + 16 \)

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