Find the 3rd term  (5 -3x)5

Q: Rewrite 4 - 5x - x2 + 6x3 in descending powers of x.

A: Here, we have to write the expression in the descending power of x. So, first, write the highest…

Q: Use the binomial theorem to expand and simplify.(x + y)4

A: The given expression is  x+y4.  binomial theorem:  a+bn=∑i=0nnian-ibi Here a=x,  b=y,n=4

Q: Find the fifth term in the expansion of (x3 + √y)13.

A: To find the fifth term in the expansion of x3+y13. Solution: We know that general term of x+an is…

Q: Find the sixth term of (3x - 4y)

A:

Q: Given (3z + 2)° then the 2nd term is:

A: The given expression is (3x+2)5

Q: When multiplied out, what are the first 4 terms of (x + 3y)0?

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Q: 2 of 2

A:

Q: √√7+X + find x + 2-X + 14-5X-x2 = x + 2 x+9

A: We need to solve the equation: 7+x+2-x+14-5x-x2=x2+x+9.

Q: Find the fourth term of (2x - 5y)4 without fully expanding the binomial.

A:

Q: What is the value of the 5th term of the expansion (2x-4)^4

A:

Q: 7x+21=4x-9

A:

Q: 22p+11=4p-7

A: Given: 22p + 11 = 4p - 7…

Q: Find the fourth term in the expansion of (3x + 2y)7.

A: the given expression is (3x+2y)7.

Q: Determine the nature, index and signature of 3x +5x; + 3x – 2x,x, + 2x,x, - 2x,x,

A: The quadratic form is given as 3x12+5x22+3x32-2x2x3+2x3x1-2x1x2 Firstly obtain a matrix…

Q: 중-1%3D3(9-3x) 1 =

A: Given equation: x6-1=139-3x To determine: The value of x.

Q: Find the 5th term in the expansion of x3 7 2y2) x2

A: The expression is  x3-2y2x27

Q: Find the constant term  (5-3x)5

A: We have to use the binomial expansion here to get the constant term coefficient of x0

Q: What is the coefficient of the term containing x^7y in the expansion of (3x + y)^8?

A: Topic = Algebra

Q: When fully multiplied out, what is the 8th term of (x-3y)¹22 A -1,732,104x5y7 B -1,082,858x³y7 C…

A: We have to find out term

Q: Find the sixth term of (3x-4y)^8?

A:

Q: 11) 2x+5=5-x

A:

Q: Find the 3rd term (2x-4)3

A: To find  the third term of the given extension use the following formula.

Q: Find the coefficient of the term xy in the expansion of (2x3-y)5.

A:

Q: 3. Determine the 4th term of (3x+ 2y3 6 using The Binomial Theorem.

A: We will find the 4th term

Q: What is the 2nd term in the expansion of (3z-4y)9

A:

Q: What is the value of the 4th term of the expansion of (y+2z)8

A: We have to find fouth term

Q: Find the x3 term in (x-1) (2x-2)4   4=n, 5 terms

A:

Q: Find the 7th term of 2+ 2 Write the 5th term of (x + y)1º.

A:

Q: Find the fifth term in the expansion of (2x + y)9.

A: We can use the binomial expansion formula to find the fifth term of the given expression. We have…

Q: Find the sixth term of (2x - y) 9.

A: To find the sixth term of 2x-y9. Solution: We know that if we have a+bn then general term is given…

Q: 2-2x(x+7)   expand and simplify

A: Solution

Q: Find the 4th term ( 2x + 3)4

A:

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: Express xo - 9x9 + 2x + 3x -1 in big-O notation.

A:

Q: What is the coefficient of the term containing x^2*y^3 in the expansion of (2x-3y)^5?

A: In order to find the coefficient use binomial theorem, which is given below.

Q: Determine the coefficient of the x'y term in the expansion of (2a + 3y) 2.

A:

Q: Evaluate the expresslon when a=7 and x=-3. -a+6x

A: A detailed solution is given below

Q: (7x - 8) 9. x = 8. x= 7, 27

A: We have to find out angles

Q: Expand the binomial. (3x − y2)5

A: To expand

Q: Use the binomial theorem to expand and simplify (x+y)6 Show each step.

A:

Q: Determine the nature, index and signature of 3x +5x + 3x - 2x,x, + 2x,x, - 2x,x,

A: Given: 3x12+5x22+3x32-2x1x2-2x2x3+2x3x1The nature of the given equation is a quadratic form of…

Q: What is the conjugate of 3 + √5

A:

Q: -4a - 8 = -3a + 7

A: The given equation is -4a-8=-3a+7

Q: c) Find the rum 1) 2x² - 2x + 5 = 0 7x²³²-5x + 6 2 x + 8x + 15 = 0 procu

A: We know that for a quadratic equation:ax2+bx+c=0, the sum of roots =-baproducts of roots=ca

Q: What is the coefficient of the term containing x^3y in the expansion of (5x+y)^4?

A:

Q: 9x + 15 then th

A:

Q: Find the 4th term: (x+2y^2)^5

A: We will use binomial expansion formula.

Q: 48. x2 -x = -7 49. x2 + 4x-2 = -x² + 9x 50. 4

A: Solving the problem by just doing the solution.

Q: What is the coefficient of the term containing x^2y in the expansion of (4x+y)^3?

A:

Q: 5x-(x+3)=1/3(9x+18)-5

A: The objective is to find the value of x: 5x-(x+3)=13(9x+18)-5