I simplified 6. 3 - x + 5 7 1 + x - 4 3 – 6(x – 4) by multiplying by 1 and obtained - 1 + 7(x + 5)

Q: 14. Add the polynomials. (2 – 10) + (62² + 2) 722 – 12 6x* – 8 6x* – 12 O 7a2 – 8

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Q: What is the 5th term in the expansion of (x^3-1/x^2)^10?

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Q: 9ab 8. Simplify: 8a¯²b -2 3a-?b 2ab-2

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Q: What is the coefficient of x9 in the expansion of (x+1)14 + x3(x+2)15 ?

A: We need to find the coefficient of x9 in the expansion of (x+1)14 + x3(x+2)15 .

Q: 4 Get rid of anyth 5. Get rid of any multiplication or division 15 - 2x = -7x 1. a+9=4a 13 SK 3. 3.…

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Q: (a) In (x - 3) = 7 (b) In (x + 4) + In (x- 4) = 1

A: Given(a) In(x-3) = 7(b) In(x+4) +In(x-4) =1solve for x(a) In(x-3) = 7In(x-3) =7take Ine  both…

Q: What is the coefficient of x4 in the expansion of (x + 1)14 + x3 (x + 2)15?

A: The binomial expansion is given by,

Q: 12. Evaluate: 2. 2 (In(3x²)² 1

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Q: 9.) Is 9" + 3 is divisible by 4? PROVE IT!

A: Given : 9n+3 is divisible by 4. To Prove: The given statement is true for n=k+1. Consider Tn=9n+3.…

Q: 2. Max tries to simplify the expression (5x+2)(x+3)-(2x–3)(x+3) as follows: = (5x+ 2)(x+3)-(2x–…

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Q: What is the 5th term in the expansion of (x^3-1/x^2)^20?

A: To find the 5th term in the expansion of x3-1x220.

Q: Which term of the expansion of (x° + 7) contains x 28 ,36 Term number contains æ36

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Q: What is the middle term of the expansion (æ² – 4)* - 43750x^8 59080x^8 43500x^8 17920x^8

A: We will find middle term as

Q: How many terms are there in the expansion of (4.x + 7y)0.+ (4x- 7y)10 ?

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Q: Q1. Add the following. [1] 3x2 + 2x + 5, 4x2 + 8x + 3.…

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Q: What is the coefficient of the term containing x^4 in the expansion (x - (2/x^2)^10?

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Q: Find AC. -у + 23 B by бу + 2 Al

A: As per guideline , one question at a time:

Q: Divide. 1) (10n - 26n? + 92n – 48) + (10n – 6) 2) (90v + 9v3 - 27 - 72v2) + (9v – 9) 3) (8x* - x -…

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Q: (i) Deduce that the difference in the number of integers in the numerator and denominator of (* 2N N…

A: Properties of floor functions will be used.

Q: What is the coefficient of x^8 in the expansion of (2+x)^11?

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Q: what is the coefficient of X^9 in (x+3)^13

A: An algebric expression of two number connected by operations "+" or "-" is called binomial. The…

Q: The 4th term in the expansion of (2x² – 3x)* is - 10 Ca (2r²)*(-3z)® O 10 C4 (2a²)°(–3x)“ O 10 C3…

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Q: 1. Simplify the expresslon below. @3x ®. x12 ©3x12. . . n... O x64

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: How many integer solutions to x1 + x2 + x3 + x4 = 32 are there for which x1≥6, x2 ≥5, x3 ≥3 and x4…

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

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Q: 1) Simplify the following expressions : 15 а) 2z Зх — 7 b) ( 6x + 5)2 13х + 9 6х + 5 x2 + 4x x2- 14x…

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Q: 3. Show that 13" – 7ª is divisible by 6 for n > 1.

A: As per Bartleby guidelines we can solve any one question at a time. Hope you understand.

Q: SHOW THAT 3^2N - 1 IS DIVISIBLE BY 8 FOR ALL POSITIVE INTEGERS.

A: We prove this by induction.

Q: What is the coefficient of x^12.y^13 in expansion (x+y)^25

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Q: 5. What is the remainder after 2x^3 +5x^2 -4x + 9 is divided by ( x + 4 ) * O 201

A: Remainder is the part of something that is left over when some other parts are completed. In…

Q: Show that 3-4" + 51 is divisible by 3 and 9 for all positive integers

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Q: The formula 00 1 2 3"z", 1- 3x n=0 is valid for -3 < x < 3 1 1 3 3 -1 < x < 1 -00 < x < ∞

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Q: Perform the indicated operationsSubtract 7a to the 2nd power+8a-15 from the sum of 14a-5 and 7a to…

A: We are required to subtract 7a^2+8a-15 from sum of 14a-5 and 7a^2-8.First of all, we will find the…

Q: Show that 3-4" + 51 is divisible by 3 and 9 for all positive integers n.

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Q: What is 8% of 5 x 10 ^7

A: We have to find 8 % of 5 × 107

Q: 614 28 + - 4(x - 1) = (x - 7x) + 1 6.

A: Solve the equation

Q: What is (3a- 82² – 10a – 24) ( – 4)? O 3a2 + 4x + 3+ エー4 4 O 3x? + 4x + 6 O 3x? + 4x + 3- -4 O 322…

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Q: 22. Divide by (*- k): -6x-16x-5x +9 *--2. O -6x - 4x+3R 3 O -6x -4x +3 O -6x -4x + 3x R 3 -6x-4x +3x…

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Q: What is the coefficient of x° in the expansion of (x + 1)14 + x³(x + 2)15?

A: as per our guidelines we are supposed to answer?️ only one question. Kindly repost other question as…

Q: 1. Provide counterexamples to show why there is no commutative property for sub- traction or…

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Q: 2. Find A for Ac 3 4 4-3

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Q: How many terms will be in the expansion of (2x+3y)^6?

A: How many terms will be in the expansion of (2x+3y)^6?   Use the binomial expansion theorem to find…

Q: 2. 6n – 1 is divisible by 5 for n any positive integer

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Q: Find the middle term in the expansion of (x / 2-4) ^ 5 when x = 2

A: Given expression is:  x2-45 Now n = 5 is odd. Therefore here two middle term exist that is: n+12th…

Q: WHAT IS THE COEFFICIENT OF X^7 IN THE EXPANSION OF (X+2)^15 + X^4 (X+3)^19

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Q: N is a 2 digit no with non 0 digits. When n is added to thrice its reverse,the result is 145  If…

A: givenN is a two digit number with non-zero digitlet, 'pq' be the digits in the number N.where 'p' is…

Q: Show that 42n -1 is divisible by 5 for n>0

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Q: how did they get 9x^2 from (x^4)/(5x^2)mod11 ?

A: Use of z11[x],

Q: . What is the answer in (1) in the coefficients table?

A: