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7-8

7-8. Special Products of Binomials. Warm Up. Lesson Presentation. Lesson Quiz. Holt Algebra 1. Simplify . 1 . 4 2 3. (–2) 2 4. ( x ) 2 5. –(5 y ) 2. 2 . 7 2. 6. ( m 2 ) 2. 8. . 7. 2(6 xy ). 2(8 x 2 ). Check It Out! Example 3 . Multiply.

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7-8

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  1. 7-8 Special Products of Binomials Warm Up Lesson Presentation Lesson Quiz Holt Algebra 1

  2. Simplify. 1.42 3. (–2)2 4. (x)2 5. –(5y)2 2.72 6. (m2)2 8. 7. 2(6xy) 2(8x2)

  3. Check It Out! Example 3 Multiply. a. (x + 8)(x – 8) b. (3 + 2y2)(3 – 2y2)

  4. Check It Out! Example 3 Multiply. c. (9 + r)(9 – r)

  5. Example 4: Problem-Solving Application Write a polynomial that represents the area of the yard around the pool shown below.

  6. Check It Out! Example 4 Write an expression that represents the area of the swimming pool.

  7. 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.

  8. 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)

  9. 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?

  10. 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?

  11. 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)

  12. 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

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