Report

Products of Binomials 7-8 7-8 Special Special Products of Binomials Warm Up Lesson Presentation Lesson Quiz Holt Algebra Holt Algebra 11 7-8 Special Products of Binomials Simplify. 1. 42 2. 72 3. (–2)2 4. (x)2 5. –(5y)2 6. (m2)2 7. 2(6xy) 8. 2(8x2) Holt Algebra 1 7-8 Special Products of Binomials Check It Out! Example 3 Multiply. a. (x + 8)(x – 8) b. (3 + 2y2)(3 – 2y2) Holt Algebra 1 7-8 Special Products of Binomials Check It Out! Example 3 Multiply. c. (9 + r)(9 – r) Holt Algebra 1 7-8 Special Products of Binomials Example 4: Problem-Solving Application Write a polynomial that represents the area of the yard around the pool shown below. Holt Algebra 1 7-8 Special Products of Binomials Check It Out! Example 4 Write an expression that represents the area of the swimming pool. Holt Algebra 1 7-8 Special Products of Binomials A builder uses parallelogram-shaped stones as decoration around a building’s windows. The stones come in many different sizes. Each stone has a base length of y inches and a height of (2y – 6) inches. Write a polynomial to describe the area of a stone. Then find the area of a stone that has a length of 6 units. Holt Algebra 1 7-8 Special Products of Binomials A circular track is surrounded by a circular walkway. The radius of the track is m – 3 and the radius of the walkway is m + 4. Write a polynomial that represents the area of the walkway. (A = πr2) Holt Algebra 1 7-8 Special Products of Binomials Gary installed a square island in his kitchen and he wants to trim the island out with tumblestone. The tumblestone will enclose an area that is 3 feet longer and 2 feet wider than the island. If Gary bought a total of 24 feet of tumblestone, what are the dimensions of the island? Holt Algebra 1 7-8 Special Products of Binomials The Smiths want to cover their backyard with new grass. Their backyard is rectangular, with a length of 2x – 4 feet and a width of 3x – 9 feet. However, their rectangular swimming pool, along with its surrounding patio, has dimensions of x + 6 by x – 1 feet. What is the area of the region of the yard that they want to cover with new grass? Holt Algebra 1 7-8 Special Products of Binomials Lesson Quiz: Part I Multiply. 1. (x + 7)2 2. (x – 2)2 3. (5x + 2y)2 4. (2x – 9y)2 5. (4x + 5y)(4x – 5y) 6. (m2 + 2n)(m2 – 2n) Holt Algebra 1 7-8 Special Products of Binomials Lesson Quiz: Part II 7. Write a polynomial that represents the shaded area of the figure below. x+6 x–7 x–6 x–7 Holt Algebra 1