Question

Expand and Simplify
`(2^x-3)^2`

Answer 1

`(2^x-3)^2\qquad\text{use}\ (a-b)^2=a^2-2ab+b^2\\\\=(2^x)^2-2(2^x)(3)+3^2\qquad\text{use}\ (a^n)^m=a^(nm)\ \text{and}\ a^n\cdot a^m=a^(n+m)\\\\=2^(2x)-3\cdot2^(x+1)+9`