SOLUTION: Help With PASCAls triangle please. 1.)(x-2t)^4 2.)(3y+2z)^5 3.)(5-2x)^5 4.)(5-2x)^5

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Help With PASCAls triangle please. 1.)(x-2t)^4 2.)(3y+2z)^5 3.)(5-2x)^5 4.)(5-2x)^5      Log On


   

Question 713762: Help With PASCAls triangle please.
1.)(x-2t)^4
2.)(3y+2z)^5
3.)(5-2x)^5
4.)(5-2x)^5
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Help With PASCAls triangle please.
1.)(x-2t)^4
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The 4th row is 1, 4, 6, 4, 1
--> x^4 - 4x^3*2t + 6x^2*(2t)^2 - 4x*(2t)^3 + (2t)^4
= x%5E4+-+8x%5E3t+%2B+24x%5E2t%5E2+-+32xt%5E3+%2B+16t%5E4
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2.)(3y+2z)^5
Row 5 is 1, 5, 10, 10, 5, 1
(3y)^5 + 5(3y)^4*2z + 10(3y)^3*(2z)^2 + 10(3y)^2*(2z)^3 + 5*3y*(2z)^4 + (2z)^5
= 243y%5E5+%2B+810y%5E4z+%2B+1080y%5E3z%5E2+%2B+720y%5E2z%5E3+%2B+240yz%5E4+%2B+32z%5E5
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Do 3 and 4 the same way.
3.)(5-2x)^5
4.)(5-2x)^5