(i) Expand and simplify (7+ V5)(3 – V5). 7+ V5 (ii) Express in the form a + b/5, where a and b are integers. 3+ V5

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A: Solve J2= -1

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A: Topic = Algebra

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A: From the given data

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A: We will find the 4th term

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A: We have to find fouth term

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Q: Q2: Use Cramer's rule to solve 3x, - 0.1x2 0.2x, = 7.85 0.1x, + 7x2 - 0.3x3 = -19.3 0.3x - 0.2x, +…

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Q: The real part of sech (2-j3) is -3.7245 -3.5906 O 0.0403 O -0.0106 -0.5309 1.0357

A: The Euler's formula is widely used formula in complex analysis. It makes a bridge between the…

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A: Answer and explanation is given below

Q: What is the coefficient of (x^8)(y^12) in the expansion of (y+x)^20

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Q: What is the coefficient of the term containing x^2*y^3 in the expansion of (2x-3y)^5?

A: In order to find the coefficient use binomial theorem, which is given below.

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A: Given: y=22u+3u-44u+u For expressing given expression as a polynomial, we simplify given expression…

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A: Note: - Since you have asked multiple questions, we will solve the first question for you. If you…

Q: Find a real root of 3*exp(-x/2)+4*In(x)-2 = 0 using False Position method with a=0.5 and b=2.0…

A: Given:            3*exp(-x/2)+4*ln(x)-2=0           3·e-x2+4lnx-2=0     By using False position…

Q: 4. a. Prove that 8s + 13 L-1 (s² + 4s – 5) 5(7et +9e-5t) by using completing the square method.

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A: Solution:

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Q: 4. Prove that f(r) = 4x³ - 8² + 2x + 1 has three real zeros. %3D

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Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.