Section P.5 Homework

1. Yes or No? If No, give a reason. (a) Is the expression (x + 5)² equal to x² + 25?

1. Yes, it is equal to x² + 25.
2. No, it is equal to x² − 25.
3. No, it is equal to x² + 10x + 25
4. No, it is equal to x² − 10x + 25

(b) When you expand (x + a)², where a ≠ 0, do you get three terms?

1. Yes, you get three terms.
2. No, you get one term. 
3. No, you get two terms.
4. No, you get four terms.
5. No, you get five terms.

2.  Find the sum, difference, or product. (Simplify your answer completely.)  6(x² − 3x + 5) − 5(x² − 2x + 1)

3.  Multiply the algebraic expressions using the FOIL method, and simplify.  (4 + x)(6 + x)

4.   Multiply the algebraic expressions using a Special Product Formula, and simplify.  (2y + 7)²

5.   Multiply the algebraic expressions using a Special Product Formula, and simplify. (2y + 9)(2y − 9)

6.  Perform the indicated operations, and simplify. (x + 1)(6x² − x + 1)

7.  Perform the indicated operations, and simplify.

8.   Find the sum, difference, or product. (Simplify your answer completely.)  −y(y⁴ − 3)

9.  Find the sum, difference, or product. (Simplify your answer completely.)  3(3 − 5t) + t(t + 15)

10.  Multiply the algebraic expressions using the FOIL method, and simplify.  (3t + 4)(t − 1)

11.   Multiply the algebraic expressions using a Special Product Formula, and simplify.  (x − 7y)²

12.   Multiply the algebraic expressions using a Special Product Formula, and simplify. (6 + y³)²

13.  Perform the indicated operations, and simplify.  y^1/6(y^17/6 + y^23/6)

14.  Perform the indicated operations, and simplify.