Answer 910 Please show ALL work Including formulas and simpl

Determine the 7h term of (p-1-3p 9. IS3090 usoe Pascal\'s Tiange to 13231\' (x 10. Use Pascal\'s Triangle to expand and simplifyLeave answer with positive exponents. Use Pascal\'s Trianglet expand and simplify Leave answer with positive exponent 4 (x +y) (x + y) (x + y) 1331 (x y) 14641 (x+y Ahswee. 23oa

Solution

9)

r^th term of (x+y)ⁿ =ⁿc_r-1 x^n-r+1y^r-1

7^th term of (p^-1-3p²)¹⁰ =¹⁰c₆ (p^-1)^10-7+1(-3p²)^7-1

7^th term of (p^-1-3p²)¹⁰ =(10*9*8*7_/4*3*2*1) (p^-1)⁴(-3)⁶(p²)⁶

7^th term of (p^-1-3p²)¹⁰ =(210) (p^-4)(729)(p^2*6)

7^th term of (p^-1-3p²)¹⁰ =153090 p^-4+12

7^th term of (p^-1-3p²)¹⁰ =153090p⁸

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10)

((x_/4)-(8_/x))⁴

=(1(x_/4)⁴)-(4(x_/4)³(8_/x))+(6(x_/4)²(8_/x)²)-(4(x_/4)(8_/x)³)+(1(8_/x)⁴)

=(x⁴_/4⁴)-(4(x³_/4³)(8_/x))+(6(x²_/4²)(8²_/x²))-(4(x_/4)(8³_/x³))+(8⁴_/x⁴)

=(x⁴_/256)-(x²_/2)+(24)-(512_/x²)+(4096_/x⁴)