Question

How do you expand $(x+4{)}^4$ ?

Answer 1

$x^4+16x^3+96x^2+256x+256$
Explanation:
The fourth row of Pascal's triangle is
$1,4,6,4,1$
Therefore
$(a+b{)}^4=a^4+4a^{3}b+6a^2{b}^2+4a{b}^3+b^4$
This can be applied as follows:
$(x+4{)}^4=(x{)}^4+4\left(x{)}^3\right(4)+6(x{)}^2(4{)}^2+4(x\left)\right(4{)}^3+(4{)}^4$
$=x^4+16x^3+96x^2+256x+256$