II. Solve the following expressions using the special prodact. Show your complete solution. 1. \( (x+12)(x+12) \) FOIL METHOD 2. \( (2 x+6)(2 x-6) \) PRODUCT OF SUM AND DIFFERENCE OF TWO TERMS 3. \( (x+7)^{2} \) SQUARE OF BINOMIAL
Added by Jose Francisco M.
Close
Step 1
- **First:** Multiply the first terms: \( x \cdot x = x^2 \) - **Outer:** Multiply the outer terms: \( x \cdot 12 = 12x \) - **Inner:** Multiply the inner terms: \( 12 \cdot x = 12x \) - **Last:** Multiply the last terms: \( 12 \cdot 12 = 144 \) Combine all Show more…
Show all steps
Your feedback will help us improve your experience
Breanna Ollech and 59 other Algebra educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Find each indicated product then answer the questions that follow. 1. 3(x 2 + 7) 2. (x + 4)(x + 4) 3. (x + 9)(x – 2) 4. (3 – 4m) 2 5. (8 – 3x)(8 + 3x) Questions: a. How did you find each product? b. In finding each product, what mathematics concepts or principles did you apply? c. How would you describe the products obtained? Are the products polynomials? If YES, what common characteristics do these polynomials have? Write your process and answer
Jerelyn N.
Factor each trinomial completely. See Examples 1 through 5 . $-9 x+20+x^{2}$
Factoring Polynomials
Factoring Trinomials of the Form $a x^{2}+b x+c$
Find each indicated product. Remember the shortcut for multiplying binomials and the other special patterns we discussed in this section. (Objectives $1-4)$ $$ (6-3 x)(6+3 x) $$
Polynomials
Multiplying Polynomials
Recommended Textbooks
Elementary and Intermediate Algebra
Algebra and Trigonometry
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD