and B = . show that 3 -1 4] (A + B)² # A² + B² + 2AB If A =

Q: The coefficient е со of x in 8x 5x +2x + 7

A: Given 8x3+5x2+2x+7

Q: 4. Perform the following operations: a) (4x²+5x+3)+(3x²–2x+8) b) (3r² –7x+2)(5x²+4x-6) c)…

A:

Q: verify that3(AB) = (3A)B = A(3B)

A: Given matrix

Q: 3 3x2+2x+1 3. Compute dr 2 x2

A:

Q: (b) (-1)" (b)(-1)*+-

A:

Q: Let B = [-1 1 4 -3] Find -4B

A: Solution

Q: 6. fx√4x+1dx

A:

Q: 2. Simplify each polynomial. Gather like terms. a)-p +5q – 8r – q+ 3p+9r +1 c) 5q - 9s – 8r + 8q –…

A:

Q: x+1 In(*(² ) 2x3 –1

A:

Q: In Z3, calculate 2 + 2 + 1 + 2.

A:

Q: Show that x2 - 4 is a factor of x* – 5x3 + 2x2 + 20x – 24.

A:

Q: 5. Express 8V-121 – 4v-81 as a monomial in terms of i.

A: Please refer to the image below.

Q: Let f, g: R - [-1, c0) be functions given by f(x) = x – 3 and g(x) = 2x? – 1 then which one of the…

A:

Q: Simply by expressing in the form of a+ib. And 3/√6-√-12.

A: This is complex number. 'i' is the complex number such that i²=-1. The complex conjugate of 'a+ib'…

Q: Express as a polynomial. (r 2 + 8r - 2-)(r 2 + 3r - 1)

A: Given expression:                         (r2+8r-2)(r2+3r-1)

Q: Find A. A = (2A)-1 [ -1 -2 2 2

A:

Q: 17) Explain why these two quotients are different. Compute each one. (x – 2)* x* - 16 and X-2 x- 2

A: (a-b)2= (a-b)(a-b) and a2-b2=(a-b)(a+b)…

Q: nd f(7zº + 5x³) dx Find + C

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

Q: 124 · (2x + 4)* 4n +3 5. What is the simplified form of: 2n + 9 8n+11 · 8 • (x + 2)° A) 4 1 C) 2" +1…

A: I have stated the used formulas in the solution.

Q: 8* If 24x² + 72x+3m 6 = (ax + b)² for all x, then find a, b, and m.

A:

Q: Simplify 5V3+2v27x. (5a +2)v3z 3v24x O 7V30x4 (5x +6)v3z

A:

Q: Determine the coeffcient of x31 + x32 + x23+ x64 if (x1 + x2 + x3 + x4)^14 is expanded.

A:

Q: Add or subtract the polynomials (7x3-x2y+4y3) + (2x3+5x2y+3xy2) - (5x2y+6xy2+y3) ?

A: Distribute the signs.

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: 5 Which of the following is the standard equation of the ellipse with vertices at (1, 0) and (27, 0)…

A: To find the standard equation of the ellipse

Q: Subtract (4q - 8) from the sum of (3q² – 7q – 4) and (6q² + 6q − 2).

A:

Q: Subtract (x − 5) − (x2 + 2).  A x2 + x − 3  B −x2 + x − 3 C −x2 + x − 7 would it be A B or C

A: Given that  Subtract (x − 5) − (x2 + 2)

Q: Assume that 12 + 22 + · · · + n2 = an3 + bn2 +en + d. Find a, b, c, and d.

A:

Q: What is the exact value of Cos 13л 12 ?

A: let H=

Q: 3. -119x+139+5x+x²x6-23- [(27+5x)+(-7x+2x²)] when x=-2

A:

Q: 2. Find the difference quotient of f(x) = 4x² – 7x + 5

A:

Q: Show that 14C5 x 5! = 14P,. %3D

A: Combination formula:Crn=n!r!(n-r)!Permutation formula:Prn=n!(n-r)!

Q: 1.fし) -x' + 5 and glx) =x²+4x-12 ラ

A:

Q: 1+x dr 1+ x?

A:

Q: 2. Simplify √√x² +9-5 x+4

A: Topic - Simplification

Q: 5. Divide. 2x2 — х — 28 4x? + 16х + 7 3x2 – x – 2 3x² + 11x + 6

A:

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

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