Question

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

Answer 1

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