Question 81546
1. (-2x+3)^2 
(-2x+3)(-2x+3)  
{{{(4x^2-6x-6x+9)}}}  [use the FOIL method to multiply]
{{{(4x^2-6x-6x+9)}}}  [combine like-terms]
{{{(4x^2-12x+9)}}}
.

2. (x-4y)(x^2+4xy+16y^2)
{{{((x-4y)(x^2+4xy+16y^2))}}} 
.
{{{((x)(x^2+4xy+16y^2)-(4y)(x^2+4xy+16y^2))}}} 
[multiply each term in the first expression by each and every term in the second expression]
.
{{{(x^3+4x^2y+16xy^2)-4yx^2-16xy^2-64y^3))}}} 
{{{x^3+4x^2y+16xy^2-4yx^2-16xy^2-64y^3))}}} 
{{{x^3+0x^2y+0xy^2-64y^3))}}} [combine like-terms]
{{{x^3-64y^3))}}}