Let K be an extension of a field F. If a, be K are algebraic over F, then a± b, ab, ab' (b # 0) are algebraic over F. In other words, the elements of K which are algebraic over F form a subfield of K. -1

Q: Simplify. 5x x² + 2x 2 + 2x - 8 3 x + 4

A:

Q: Simplify. -8x +7+8x

A: we have to simplify the expression  -8x+7+8x = -8x+8x+7  =( 8x-8x) +7 = 0+7  = 7

Q: Evaluate if x = 2 and y = -3. 2x2-2xy + 10y²

A:

Q: 7 5 X + -6 8 -8 -6 X. X =

A:

Q: Simplify. х+4 4x + 24 3 X + 6x *2

A:

Q: Dim P2 = 2. O True O False

A: A basis for P2 is { 1, x, x2}

Q: Evaluate. ((-1) -4) +5-(-2)

A: Use the BODMAS rule to evaluate the given expression. −12−43+5⋅−2First solve the terms in the…

Q: roue with alleast one-one exemple C. %3D Ja iffeg the gde va

A: (a) Let f(x) = x , c = 2 Then consider ∫abcf dx = ∫ab2x dx= 2x22ab= x2ab= b2-a2 Consider c∫abf dx =…

Q: Let ā = and b . Find 3ā + b. -

A: We will simply use vector addition rules to find the answer

Q: 5x + 4y 5x + 4y = (Simplify ya

A: We have to solve

Q: where is the rest of the answers

A: Given that Sample size (n)=20 Probability of success (p)=0.68  We have to find probability that…

Q: Find -x if 1 b. x = =. 3 a. x = -8

A: We have to find -x.

Q: (x+α) 8x = 2 3

A:

Q: Let x=-11/8 and y=-11/4. Which expression has a negative value?

A: Find the attachment

Q: To-42 5-2X-3 (6z) odz dy oe aly de

A:

Q: Find A. -1 1 (4A)-1 = -4 2 A =

A: Solve the following

Q: V- 25 + V- - 81+V-49

A: Topic - complex numbers

Q: Find (i)27 = а. i b. –i с. 1 d. –1

A: The given expression is ( i )27 .

Q: fx x > 0 , and y 0 , determine the sign of the following real number xy - xz

A:

Q: The table shows the movement of a stock for 30 randomly selected trading days. "Up" means the stock…

A:

Q: v = [-1, –5,9, –9] |v|| =Ex: 1.234 9 V

A:

Q: Simplify. 2-x X² + 4x-12 2-x x² + 4x-12 2 -

A:

Q: can u double check and answer this again

A:

Q: Let a = and b = . Find - à - b.

A: Given :a→=5, -5, -1b→=-4, 4, 0

Q: Let A = 41 -33 Find -3A. -3A =

A: See this solution in below.

Q: 3 2 Let B =0 -6. Find-5B. | 5 -1 -5B =

A: Given: B=320-65-1 The objective is to find -5B.