Algebra 1 - 8.4 Multiplying Special Cases

 Simplify.
 $\left(w+5\right)^2$ 

•  $w^2+10w+25$  

•  $w^2-10w+25$  
  

•  $w^2+5w+25$  

•  $w^2+25w+10$  

 Simplify.
 $\left(3s+9\right)^2$ 

•  $9s^2+54s+81$  

•  $9s^2+18s+81$  
  

•  $9s^2-18s+81$  

•  $9s^2-54s+81$  

 Simplify.
 $\left(a-8\right)^2$ 

•  $a^2-16a+64$  

•  $a^2+16a+64$  
  

•  $a^2-16a-64$  

•  $a^2+16a-64$  

 Simplify.
 $\left(5m-2\right)^2$ 

•  $25m^2-20m+4$  

•  $25m^2-10m+4$  
  

•  $25m^2+20m-4$  

•  $25m^2+10m-4$  

What is an expression for the area of the whole square?

• $x^2+12x+36$

• $x^2-12x+36$

• $x^2+12x-36$

• $2x^2+12x+36$

What is an expression for the area of just the white square?

•  $x^2$ 

•  $2x$ 

•  $2x^2$ 

•  $4x$ 

Use the two area expressions below to find and expression that represents the area of just the shaded region.

Whole Square:  $x^2+12x+36\ units^2$  
White Square:  $x^2\ units^2$  

•  $12x+36\ units^2$ 

•  $2x^2+12x+26\ units^2$ 

•  $-12x-36\ units^2$ 

•  $x^2+12x+36\ units^2$ 

 Simplify.
 $\left(v+6\right)\left(v-6\right)$ 

•  $v^2-36$  

•  $v^2+36$  
  

•  $v^2-12v-36$  

•  $v^2-12v+36$  

 Simplify.
 $\left(7m^2+5\right)\left(7m^2-5\right)$ 

•  $49m^4-25$  

•  $49m^2-25$  
  

•  $49m^3-25$  

•  $49m^4+25$  

Challenge! Simplify.
 $\left(s+6t\right)^2$ 

•  $s^2+12st+36t^4$  

•  $s^2+12st+36t^2$  
  

•  $s^2-12st+36t^4$  

•  $s^2+12st^2+36t^4$