1. Factor the expression using the two different techniques listed for Parts 1(a) and 1(b). (a) Factor the given expression using the GCF monomial.
(b) Factor the given expression using the difference of squares.

2. Graph the system of linear inequalities on the coordinate plane.
(a) Shade the solution to the system of inequalities.
(b) Pick a point and show your solution is correct.

I WILL REPORT IF YOU ANSWER FOR POINTS. Please explain if you understand this.

36a^4*b^10-81a^16*b^20

Step 1: factor out the gcf of both polynomials and seperate them

(36a^4*b^10)-(81a^16*b^20)... the GCF is 9a^4*b^10

(4*1)-(9a^12*b^10)

Step 2: combine the 2 polynomials and square root them and multiply them by the GCF

9a^4*b^10(2+3a^6*b^5)(2-3a^6*b^5)

Step-by-step explanation:

I hope this helped

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation: