Expand (2x - 5)using Pascal's triangle. 4. What is the correct row of numbers to use from Pascal's triangle? A) 1, 5, 15, 15, 5, 1 B) 1, 5, 10, 10, 5, 1 C) 1, 5, 20, 5, 1 D) 1, 5, 10, 20, 10, 5, 1 5. Which of the following shows the correct expression to expand the binomial? A) 1(2x)°(-5)° +5(2x)*(-5)* +15(2x)°(-5)² +15(2x)*(-5)° +5(2x)*(-5)ª +1(2x)°(-5) B) 1(2x)(-5)* +5(2x)*(-5)* +10(2x)'(-5)° +10(2x)*(-5)* + 5(2x)*(-5)* + 1(2x)°(-5)° C) 1(2x)*(-5)* + 5(2x)*(-5)} +20(2x)(-5)* +5(2x)(-5)* +1(2x)'(-5)* D) 1(2x)'(-5)° +5(2x)*(-5)* +10(2x)°(-5)² +10(2x)*(-5)° + 5(2x)*(-5)* + 1(2x)°(–5)* 6. Write the expansion in simplified form. A) -100,000x +50,000x* - 10,000x³ +1000x² – 50x+1 B) 32x – 400x +2000x – 5000x² +6250x – 3125 C) 32x - 400x* +3000x – 7500x +6250x –-3125 D) -160x +2000x* - 20,000x +12,500x -6250x xpand (y+2)° using Pascal's triangle. - Which of the following shows the correct expression to expand the binomial? A) 1(y) (2)° +6(y)*(2)* +15(y)* (2)* + 20(y)' (2)* +15(y)*(2)* + 6(y)' (2)° + 1(y)° (2)® B) 1(y)°(2)° +6(y)*(2)* +15(y)°(2)° +20(y)°(2)* +15(y)*(2)* +6(y)°(2)° + 1(y)°(2)* C) 1(y)°(2)° +6{y)*(2)* +15(y)*(2)° + 20(y)*(2)° + 15(y)°(2)* + 6(y)*(2)* + 1(y)°(2)° D) 6ly) (2)* +15(y)* (2)* + 20(y)*(2)° +20(y)°(2)* +15(y)* (2)* + 6(ly)*(2)° Write the expansion in simplified form. A) 1+12y+60y² +160y³ +240y* +192y° +64y° B) 2y +24ys +120y +320y +480y +384y
Expand (2x - 5)using Pascal's triangle. 4. What is the correct row of numbers to use from Pascal's triangle? A) 1, 5, 15, 15, 5, 1 B) 1, 5, 10, 10, 5, 1 C) 1, 5, 20, 5, 1 D) 1, 5, 10, 20, 10, 5, 1 5. Which of the following shows the correct expression to expand the binomial? A) 1(2x)°(-5)° +5(2x)*(-5)* +15(2x)°(-5)² +15(2x)*(-5)° +5(2x)*(-5)ª +1(2x)°(-5) B) 1(2x)(-5)* +5(2x)*(-5)* +10(2x)'(-5)° +10(2x)*(-5)* + 5(2x)*(-5)* + 1(2x)°(-5)° C) 1(2x)*(-5)* + 5(2x)*(-5)} +20(2x)(-5)* +5(2x)(-5)* +1(2x)'(-5)* D) 1(2x)'(-5)° +5(2x)*(-5)* +10(2x)°(-5)² +10(2x)*(-5)° + 5(2x)*(-5)* + 1(2x)°(–5)* 6. Write the expansion in simplified form. A) -100,000x +50,000x* - 10,000x³ +1000x² – 50x+1 B) 32x – 400x +2000x – 5000x² +6250x – 3125 C) 32x - 400x* +3000x – 7500x +6250x –-3125 D) -160x +2000x* - 20,000x +12,500x -6250x xpand (y+2)° using Pascal's triangle. - Which of the following shows the correct expression to expand the binomial? A) 1(y) (2)° +6(y)*(2)* +15(y)* (2)* + 20(y)' (2)* +15(y)*(2)* + 6(y)' (2)° + 1(y)° (2)® B) 1(y)°(2)° +6(y)*(2)* +15(y)°(2)° +20(y)°(2)* +15(y)*(2)* +6(y)°(2)° + 1(y)°(2)* C) 1(y)°(2)° +6{y)*(2)* +15(y)*(2)° + 20(y)*(2)° + 15(y)°(2)* + 6(y)*(2)* + 1(y)°(2)° D) 6ly) (2)* +15(y)* (2)* + 20(y)*(2)° +20(y)°(2)* +15(y)* (2)* + 6(ly)*(2)° Write the expansion in simplified form. A) 1+12y+60y² +160y³ +240y* +192y° +64y° B) 2y +24ys +120y +320y +480y +384y
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.5: Mathematical Induction
Problem 27E
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Transcribed Image Text:Expand (2x-5)using Pascal's triangle.
4. What is the correct row of numbers to use from Pascal's triangle?
A) 1, 5, 15, 15, 5, 1
B) 1, 5, 10, 10, 5, 1
C) 1, 5, 20, 5, 1
D) 1, 5, 10, 20, 10, 5, 1
5. Which of the following shows the correct expression to expand the binomial?
A) 1(2x)°(-5)° +5(2x)*(-5)' +15(2x)*(-5)² +15(2x)*(-5)° +5(2x)'(-5)^ +1(2x)°(-5)5
B) 1(2x)°(-5)* + 5(2x)*(-5)* +10(2x)*(-5)* +10(2x)'(-5)² +5(2x)*(–5)* + 1(2x)°(–5)°
C) 1(2x)°(-5)* + 5(2x)^(-5)' +20(2x)°(-5)° +5(2x)°(-5)^ +1(2x)*(-5)°
D) 1(2x)°(-5)° +5(2x)*(-5)* +10(2x)°(-5)* +10(2x)*(-5)° +5(2x)*(-5)* +1(2x)°(–5)°
6. Write the expansion in simplified form.
A) -100,000x +50,000x* – 10,000x' +1000x² – 50x+1
B) 32x – 400x +2000x³ – 5000x² +6250x – 3125
C) 32x – 400x* +3000x³ – 7500x² +6250x –-3125
D) -160x +2000x* – 20,000x +12,500x -6250x
Expand (y+2)° using Pascal's triangle.
7. Which of the following shows the correct expression to expand the binomial?
A) 1(y)*(2)° +6(y)°(2)* +15(y)“ (2)* + 20{y)*(2)* +15(y}* (2)* +6(y)* (2)° + 1(y)° (2)ª
B) 1(y)° (2)° +6(y)*(2)* +15(y)* (2)* + 20(y)*(2)° +15(y)*(2)“ +6(y)°(2)° +1(y)*(2)°
C) 1(y) (2)° +6(y)*(2)* +15(y)* (2)* + 20(y)*'(2)* +15(y)*(2)* +6(y)'(2)* +1(y)°(2)°
D) 6(y) (2)* +15(y)* (2)* + 20(y)*(2)* + 20(y) (2)* + 15(y)* (2)* + 6(y)' (2)°
8. Write the expansion in simplified form.
A) 1+12y+60y² +160y' +240y“ +192y +64y°
B) 2y° +24y° +120y +320y* + 480y² + 384y
C) y° +2y° +24y° +120y +320y +480y +64
D) y° +12y° +60y* +160y³ +240y² +192y +64
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