What is the coefficient of the term 3021 in the expansion of (2x - y)51 C(51,30) 230 C(51, 30) 220 C(51, 21) 230 -C(51, 21) - 230

Q: Simplify the expression completely: (z + 5) (x – 5) (x² – 25) – (z + 1) (z² – 8) = 5) (2- 25)- (+ 1)…

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Q: Multiply: (a) (m + 2)(m – 2), (b) (3y + 4)(3y – 4), (c) (b -6 +), and (d) (tª – 6u)(tª + 6u). To…

A: To find the product of two binomials, we generally use the FOIL (First, Outer, Inner, Last) method.…

Q: Find the term containing x6  in the expansion of (x+2y)10 Please break this down in steps that I…

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Q: 2.xxX-Y) (xX+1)

A: This is the problem of multiplying binomial. It has been done step by step. See the attached image

Q: What is the coefficient of x²x²3x4 in (x₁ + x2 + x3+x₁)?

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Q: Use the Binomial Theorem to expand and simplify (y2 -2)3 (y2+2)3.

A: Given expression is y2−23y2+23 We have to expand the expression y2−23y2+23 by using Binomial…

Q: Add the polynomials (10z - 82 7æ³ - 10) + (- 4x + 12a + 7a + 9) | Submit Question

A: Add the polynomials. Solution is given below-

Q: The simplification of 7 + 2.7n-1+ ...+2.7²+2 7+2 is 7^2.5 O (4-(7^n)-1)/3 O (3.7^(n+1)-1)/2 O…

A: To simplify the expression 7n+2•7n-1+••••+2•72+2•7+2

Q: The expansion of the term (2x -) 16+x- 6x? + 16x³ – 16x* 16 16 – 64x + 96x2 – 64x3 + 16x* 1 -x + 6x2…

A: In this question we have to find the expression which we can find out by using the binomial theorem

Q: how (n+2)^2+1 became (n+1+2)^2

A: The given sequence To find:-The nth term of sequence

Q: x

A: We see that the r-th term of (x+y)27 is given by Cr27xry(27-r)  i.e. the sum of exponent of x and y…

Q: Use the binomial theorem to expand the following expression. (u - 5v)4 14 - 201y + 150z2,2 – 500uv3…

A: the row of Pascal's triangle that corresponds to n9 is as follows. 19 36 84 126 125 84 36 9 1. We…

Q: What is the coefficent of 5 in (x + 1)7 - x²(x+3) 5

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Q: Simplify the radeal expression 6.

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

A: We have, 3-6x+51+7x-4

Q: 2r2 + 2r + 11 dr 2r +3)(x² + 4)'

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Q: What are the 5a + 20a - 60 factors of O 5 (x-6)(x+2) • 5 (x+6)(x-2) O 5 (x-6)(x-2)

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Q: 5. From the 10 inflatable pool toys that you've bought during the past year, you plan to take 3 with…

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Q: What is the ab c³ term of the expansion of (a – b2 + 3c)??

A: According to binomial expansion, the (r+1)th term of the binomial (a+b)n is given by,

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

A: By Binomial theorem (a+x)n=∑m=0nncman-mxm Here (x+1)14=∑m=01414cmx14-m1mNow the coefficient of…

Q: 7. The vertex of y =- 2(x - 14)(x + 22) is %3D a. (-4, 648) b. (36, 2252) c. (4, 648) d. (-4, 324)

A: Question is solved.

Q: Find the coefficient of x® in (1+ x² + x4 + x®)4.

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Q: In the expansion of (x + y)31, write the  value of the exponent k in the term that contains x3+kyk

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