QR 4 U from destroyer

Started by jdent
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jdent

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Q#149 - i understand how to do pascals triangle but the rest i dont? Someone help?

I know klutzy is going to say- write the dam question because i dont carry book around all day- here is. What is product of 2nd and 3rd term of expansion of (3x-2y)^5?
 
Q#149 - i understand how to do pascals triangle but the rest i dont? Someone help?

I know klutzy is going to say- write the dam question because i dont carry book around all day- here is. What is product of 2nd and 3rd term of expansion of (3x-2y)^5?
Remember that these problems require combinations to figure out individual terms. If the exponent is 'n', then there are 'n+1' terms in the final expansion - from the constant up to the nth power.

Each individual term is computed using a combination and knowledge of what the variables will be. The first term is (n choose 0) x^n y^0. The second term is (n choose 1) x^(n-1) y^1.

In general, the k-th term is given by (n choose [k-1] ) x^(n-k+1) y^(k-1).

If you want the 2nd term then k-1 = 2-1 = 1. You have n = 5.

(5 choose 1) x^4 y^1 = 5x^4y^1. But remember that x is really '3x' and y is really '-2y'.

5(3x)^4 (-2y)^1 = 5(81x^4)(-2y) = -810(x^4)👍

If you want the 3rd term then k-1 = 3-1 = 2. You still have n = 5.

(5 choose 2) x^3 y^2 = 10(x^3)(y^2). Again, x is really '3x' and y is really '-2y'.

10(3x)^3(-2y)^2 = 10(27x^3)(4y^2) = 1080(x^3)(y^2)

Now multiply those 2 out and you'll get -874,800(x^7)(y^3).
 
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thanks clown bags- and understand that in touro anything and everything is possible especially with dr. T.

Streetwolf very clear!
 
Yea but not on addsas thats why they have the grade converter so its standerdized for everyone including people who go to school with A+s and those who go to schools that only have A B with no plus or minus. It cant possibly be over 4 with the conversion!