11. Find 53915) 4 ] 1-7 -)] s(s² + 1)(s-4)² (s² - 9) (s²+4)

Q: 18. Simplify a) (2w)* + (2w²)-3

A: The given expression is Note that as per the rules, we are supposed to answer the first question and…

Q: 8) 58(x-1) = 6252x-2

A: 58(x-1)=625(2x-2)

Q: 9(x + 6) - 41 = 75 Prove x - 62/9)

A:

Q: Find a formula for ¹ - 1²/ (²1) + 1² ( 2 ) -—- ... ₁ (2). (G) + (-) + I u

A:

Q: (2x* + 5x3 + 5x? + 10х + 8) + (x +2)

A:

Q: 3. (25-¹) + (25-²) (6250)+(25-2) द (A) 26 (B) (C) 225 26 115 (D) 0 D ||

A: To evaluate the following expression.

Q: Prove an+1 = (an2+ 1) / 2 with a1 = 2 is monotonic increasing.

A: Solution:-

Q: 19) (x +2)4 – )2 +4 = 0 5(x+2,

A: (x+2)4-4(x+2)2-(x+2)2+4=0 (x+2)2((x+2)2-4)-((x+2)2-4)=0 (x+2)2=1,(x+2)2=4 x+2=+-1,x+2=+-2…

Q: (p'- 10p + 20p+ 26) ÷ (p- 5) |

A:

Q: show that 1+1/(3)2+1/(5)2+1/(7)2+...=(pie)2/8 using Eulers pie2/6 equation (show all steps please)

A: The given question is solved below.

Q: Find a formula for ¹ - 1²/ ( 7 ) + 3² ( 2 ) - ··· + + (−1)n. 2+1(1).

A:

Q: Find a formula for +(−1)n. (2). 1 1 ¹ – ²2 ( ² ) + ² ( 2 ) - -· ··- 1 n+1

A: To Find: A formula for .

Q: Prove that m^3 + 2n^2 =36 has no solution in positive integers.

A: Prove that  there is no solution for positive integers.Let if for for

Q: The 4th term in the expansion of (2x² – 3x)* is - 10 Ca (2r²)*(-3z)® O 10 C4 (2a²)°(–3x)“ O 10 C3…

A:

Q: (2x - 7x - 1) - (-2x + 3x- 4) Subtract 5x + 2x -1 from 4x +3

A:

Q: 201-25-(1-82 60 86)(So) | (o-Sh)는 (0-5h4

A: Do square both the side. Now solve 5 powered equation.

Q: 4) (n* + 12n² + 37n² + 21n – 27) ÷ (n+ 3) |

A: