3 [-301 2. Let u --- and - 6, and w=-30. It can be shown that 14 -2u - 6v-w=0. Use this fact (and no row operations) to find x₁ and x₂ that satisfy the equation X1 6 3 -3 6 ₁₂ 2 -301 -30 14 x₂ =

Q: 2 and B= 1 0. then Show that if A = 6. -1 2 (A + B)(A + B) # A² + 2AB + B?

A: Given that A=-1201 and B=10-12 We have to show that A+BA+B≠A2+2AB+B2

Q: 4. Simplify 3(8z+2y). O 24z + 2y 24x+2y D24x+6y 30z +y 30cv

A:

Q: Solve for u. (u+3)² = 2u²+u+15 If there is more than one solution, separate them with commas.

A: Solution:-

Q: z-9z=6z-1-z

A:

Q: (9y² + y - 7) + (7y² -y-4) = ]

A: We have to add 9y2+y-7+7y2-y-4

Q: Perform the addition and simplify. (5y4 - 8y2 + 5x? - 3) + (-2yA + 4y? + 9) (5y4 - 8y? = D - 5x2 -…

A:

Q: 4x+2y=2 1.) 2x+2y=4

A: The given system of equation is: 4x+2y=22x+2y=4

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

A: Solution

Q: rỉ + 10x1x2 + x = as² + ßt²

A:

Q: Find a and b such that 2 1 20 = a 2 +b -4 -22 -1 a = b =

A:

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

A:

Q: Let a = 5j + k and b - 27 + 3 + 2k. Find - 3ā – 36.

A: We can find the given vectors.

Q: Find a and b such that a = 9 = 0 - a -1 +6 10 6

A:

Q: Find x, and x2- 30 X2 - 46

A:

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

A:

Q: Simplity. Assume all exponents are positive integers. 35n 45x² 2. 35n² 25x 1. 4. p²-3p-54 p-9 5.…

A:

Q: 4. Factor a? + 12ab + 32b2. OA. (a+4b)(a + 8b) О в. (а - 4b)(а - 8b) С. (а - 4b)(а + 85) D. (a +…

A:

Q: Find +62+7) dr 1(2²³/20 +C

A: Integration  ∫3x2+6x+7dx

Q: Which of the following are the solutions to the polynomial equation x - 13x +36 0? O a. x = 0, 4, 9…

A:

Q: Perform the indicated operation 6z - 1 N -D5 2-4z-32 z² - 16

A:

Q: z - 8 j, k, 64y3 + 125 I. -60x² +315x - 75

A:

Q: Find the value of each of a,b,c so that 6x3 − 7x2 − x + 2 = (x − 1)(ax2 + bx + c)

A: Given equation is : 6x3-7x2-x+2=x-1ax2+bx+c To find the value a, b, and c

Q: Let ā 47- 57 and b - 27 + 3j + 4k. Find - 2ā - 36.

A:

Q: Find x and y.

A: Given :'x-27y=-4-2722To determine x and y .

Q: -a b Evaluate-2a +4x 2b-4y x с 2b-4y 2c +4% -Y

A:

Q: Prove that if 8x-5=-2x-15 then -x=1

A:

Q: Q9. (0,3) – 2i +1 = а. - 2i + 2 b. -2 – 2i с. (-1,1) d. (1,–1)

A: Substraction of two complex numbers

Q: Suppose an = -3an-1 a1 = a2 = a3 = 2an-2+ 6an-3 and a4 = -17, a5 = 53, and a = -167. Find a₁, 92,…

A:

Q: If possible, write 25 – 21x – 14x² as a linear combination of 2 − x − x², 2 – 2x − x² and 3x − 3 +…

A:

Q: 18-7х b. 5-6х 5x+9y 7у-12х 3+11х 2. 5х-2у 5х-2у -6х+5

A:

Q: If A %3D аx + За, and B %3D 5ax + 2а, — баz, find @AB- АВ

A: ANGLE BETWEEN TWO VECTOR

Q: -2 1 21 = a 3 +b -3 -22

A:

Q: -2w-6(-6x+w)+6x

A: To simplify the following expression.-2w-6-6x+w+6x

Q: -7 -5 Let A = Find -2A. 2] 1.

A: Given, A=-7-512

Q: If A = 3j + 2k, B = 2i – 2j – 2k then Ax B

A: Use cross product of vector

Q: Find the real numbers x and y if  2x –i = 6 + ( 1 – y )i

A: Given that  2x –i = 6 + ( 1 – y )i Find the real numbers x and y if

Q: (5x+4) O 19. Find MP M 20. Find PJ. 3x + 14 09x-34 K

A: Answer no 19

Q: 2 If possible, write 7 - 4x 6x² as a linear combination of -2 - x + x², 2 x + x², 2x² and 1 + x.…

A: We have to find the values of a, b, c such that,7 - 4x - 6x2 = a(-2-2x + x2) + b(2-x2) + c(1+x)