Question

1. complete the activity below, answering all of the questions.
2. when you have finished the guided practice activity, upload a screenshot of your score screen to earn credit for this activity.

multiplying binomials

1. (3r - 1)(7r - 5)
2. (7v + 2)(5v + 2)
3. (3x + 6)(2x + 4)
4. (3m - 4)(6m + 2)
5. (3a + 7)(2a - 6)
6. (n - 6)(2n - 1)
7. (3x + 6)(2x + 3)
8. (3b - 1)(b + 3)
9. (8p + 8)(6p - 5)
10. (8x + 6)(8x - 4)

Explanation:

Step1: Use FOIL method for (1)

$(3r - 1)(7r - 5)=3r\times7r+3r\times(- 5)+(-1)\times7r+(-1)\times(-5)=21r^{2}-15r - 7r + 5=21r^{2}-22r + 5$

Step2: Use FOIL method for (2)

$(7v + 2)(5v + 2)=7v\times5v+7v\times2+2\times5v+2\times2=35v^{2}+14v+10v + 4=35v^{2}+24v + 4$

Step3: Use FOIL method for (3)

$(3x + 6)(2x + 4)=3x\times2x+3x\times4+6\times2x+6\times4=6x^{2}+12x+12x + 24=6x^{2}+24x + 24$

Step4: Use FOIL method for (4)

$(3m - 4)(6m + 2)=3m\times6m+3m\times2+(-4)\times6m+(-4)\times2=18m^{2}+6m-24m - 8=18m^{2}-18m - 8$

Step5: Use FOIL method for (5)

$(3a + 7)(2a - 6)=3a\times2a+3a\times(-6)+7\times2a+7\times(-6)=6a^{2}-18a+14a - 42=6a^{2}-4a - 42$

Step6: Use FOIL method for (6)

$(n - 6)(2n - 1)=n\times2n+n\times(-1)+(-6)\times2n+(-6)\times(-1)=2n^{2}-n-12n + 6=2n^{2}-13n + 6$

Step7: Use FOIL method for (7)

$(3x + 6)(2x + 3)=3x\times2x+3x\times3+6\times2x+6\times3=6x^{2}+9x+12x + 18=6x^{2}+21x + 18$

Step8: Use FOIL method for (8)

$(3b - 1)(b + 3)=3b\times b+3b\times3+(-1)\times b+(-1)\times3=3b^{2}+9b - b - 3=3b^{2}+8b - 3$

Step9: Use FOIL method for (9)

$(8p + 8)(6p - 5)=8p\times6p+8p\times(-5)+8\times6p+8\times(-5)=48p^{2}-40p+48p - 40=48p^{2}+8p - 40$

Step10: Use FOIL method for (10)

$(8x + 6)(8x - 4)=8x\times8x+8x\times(-4)+6\times8x+6\times(-4)=64x^{2}-32x+48x - 24=64x^{2}+16x - 24$

Answer:

1. $21r^{2}-22r + 5$
2. $35v^{2}+24v + 4$
3. $6x^{2}+24x + 24$
4. $18m^{2}-18m - 8$
5. $6a^{2}-4a - 42$
6. $2n^{2}-13n + 6$
7. $6x^{2}+21x + 18$
8. $3b^{2}+8b - 3$
9. $48p^{2}+8p - 40$
10. $64x^{2}+16x - 24$