(i) Show that (5 + 3v2)² = 43 + 30v2. Hence find, without using a calculator, the positive square root of (ii) 86 + 60v2, giving your answer in the form a+ bv2, where a and b are integers, (iii) 43 – 30V2, giving your answer in the form c+ dV2, where c and d are integers,

Q: 3) Simplify the multiplication or division statement symbolically (without using tiles). [ a)…

A: Part a,             2x2-3x-2Part b,             5b2+4-3Part c,             9r-21r23Part d,…

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A:

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A: Given matrix

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A: Given:

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A:

Q: (152+ 10i) – (153– 57i) =|

A:

Q: b. Evaluate (3x - 2) 2

A: Given indefinite integral is  Consider dx=(du)/3" data-mce-style="box-sizing: inherit; user-select:…

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A:

Q: In the answer, is that 3(x-4) times 2-7x+12 or 3(x-4) x squared -7x+12?

A: The answer is in the ration form that is f(x)g(x) that is f(x) divided by g(x).

Q: find (2n +1)! = 120

A: Here we have to find the value of n.  2n+1!=120

Q: (9х? + 9 — 3x) — (4 — 6х + 8x?)

A:

Q: What is equal (1 + 5K + 3J ) (1 + 2I+ 3K)-1? Write the coefficient at J & K ?

A:

Q: In(8x) + In 4x? – In(16x)

A: Please refer the attached image for complete solution.

Q: Select two expressions equivalent to 15a² – 5a - 11 (Select all that apply.) (14a² − 9a +1)+(a² + 4a…

A: Given; 15a2-5a-11.

Q: nd f(7zº + 5x³) dx Find + C

A: Given:     ∫7x6+5x3dx=∫7x6dx+∫5x3dx=7∫x6dx+5∫x3dxwe know that ∫xndx=xn+1n+1

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A: Given: 1+i36 we know that cosθ+isinθ=eiθ                              ..1 now, simplifying given…

Q: 2) Draw the algebra tiles representing (4x² - 8x) + 4 and state your answer. (4x²8x) + 4 =

A:

Q: 4 from 8.2? Your answer should be a polynomial in standard form, Subtract 3c2+7r x- 6r +2. 1.

A:

Q: Find the factors of following expression 3x(x + 2)−¹/³ + 4(x + 2)²/³.

A:

Q: Perform the indicated operations and simplify x2-16 x-4 a) x+3 5x2-45

A: Given : x2 - 16x + 3 ÷ x - 45x2 - 45

Q: If 8 = (AB) - (AB)o, then with usual notations, prove that [(A) – (a)][(B) – (B)] + 2N8 = (AB)?+…

A: Given:-                A-αB-β+2Nδ = AB2+αβ2-Aβ2-αB2

Q: d) (5x) + 5 – (0,25) +83 3. Use the laws to re-write the following expression as a power of x:

A: The given expression is xxxxx use the formula x=x12 , xaxb=xa+band simplify…

Q: 17. Simplify the following into complex numbers of the form a + bi. (a) √ 2√8

A:

Q: Find the factors of the polynomial: 25b² – 144a?

A:

Q: 4)3√2 +(12) 5√64

A: We have to find the value

Q: Consider the expression: x² - 7x - 30 = 30 and A) Find two number, p and q such that p. q p+q= - 7.…

A:

Q: The quadratic expression x² — 12x + 191 is equivalent to (x + A)² + B where A and B =

A:

Q: (3x+4) (2x+4)     but with each as a radical.    Is it possible to multiply each if they are a…

A: Yes, you can multiply them if they are radical by using this basic law of radicals:

Q: negate: “every sun is red.” b. expand: (3x − 2)^5

A: Given: a. negate: “every sun is red.” b. expand: (3x − 2)^5

Q: show that A (7b +p) = A (7b) + A (p).

A: Given A = [v1 v2 v3]  ,  b = xyz   and   p = 375

Q: (5÷9)+18

A:

Q: What is (1 + i)?

A:

Q: i (d) What is Arg(-,- 2 ? -2-2i

A: