Posted by Jonathan on Monday, December 5, 2011 at 9:35am.
I need to use Pascal's Triangle to expand (x1)^5
I know I use the fifth row but I'm not sure how to do it I have a bunch of these and I'm really confused Please help if you can

Algebra  Reiny, Monday, December 5, 2011 at 10:31am
you know the expansion must look like
?x^5(1)^0 + ?x^4(1)^1 + ?x^3(1)^2 + ?x^2(1)^3 + ?x^1(1)^4 + ?x^0(1)^5
= ?x^5  ?x^4 + ?x^3  ?x^2 + ?x  ?
now the 5th row of the triangle has values:
1 5 10 10 5 1
put these in where the ?'s are and you are done
= x^5  5x^4 + 10x^3  10x^2 + 5x  1
suppose you had
(x+2)^4
= 1x^4 + 4x^3(2) + 6x^2(2^2) + 4x(2^3) + 12^4
= x^4 + 8x^3 + 24x^2 + 32x + 16

Algebra  Reiny, Monday, December 5, 2011 at 10:33am
That last term in the 2nd last row of course is 1(2^4) or 16
Answer This Question
Related Questions
 Grade 9 Algebra Question 3 (LAST)  PASCALâ€™S TRIANGLE For Exercises 5 and 6, use...
 Math  Is this true or false? To expand the binomial (x2 + 3)6, use the row of ...
 algebra  1)Use Pascal's triangle to expand (wx)^5 2)Use the binomial theorem ...
 Precalc  1) expand (1+3x)^4 using the Binomial Theorem. 2) Use Pascal's ...
 precalculus  use pascal's triangle to expand the expression (2x3y)^3
 Math  Use Pascal's triangle to expand (a+b)^6 and hence find the binomial ...
 precal  Use Pascal's triangle to expand the expression. (x − y)5 so I ...
 math  The numbers 1, 7, 21, 35, 35, 21, 7, 1 form a row of pascal's Triangle. ...
 MAths  What is the sum of all numbers that occur an odd number of times in rows...
 Geometry/Algebra  The segments formed by the altitude to the hypotenuse of a ...
More Related Questions