The 4th term in the expansion of (2x -3x 10 is 10 C4 (2a) (-3x)³ O 10 C4 (2a2) (-32)4 10 C (2) (-3z)° 10 C3 (2a2) (-3x) 3.

Q: [ (ax + b) c+b) dx = ○ / (ax + b) ² + C O O4a ¹ª (ax + b) ² + C O4a (ax + b)² + C O4 (ax + b) + C 7a

A: You must have basic idea about indefinite integral in order to understand this better.

Q: (3s 4(x-5) 4. (340C)= 215x+-20 3--20 5. (x-23(x-1) (2x-3)(x+7) Bx + 8)=5-8 (x-6)(x+5) 8. 31 3-

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Q: 3. Multiply and then simplify the following. a) (x + 9)² c) (2m-11)² b) (10t + 3)² d) 6(x + 2)²

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Q: The expansion of (1 - x)® = A 1+4x - 7x² + . B 1- 4x + 7x2 - C 1+ 4x - 7x2 + Đ 1- 4x + 7x² – 23.

A: Please see the explanation below

Q: 1. The expression 16x? – 25y? is equivalent to: A) (4x – 5y)? C) (4x – 5y)(4x + 5y) B) (16 – 25)(x?…

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Q: In Z2, 1 + 1 + 0 + 1 = 1 and 1 + 1 + 1 + 1 = 0.

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Q: 2. Expand by multiplying 'o) a) (3x+ 4)(2x - 2) b) (2x - 7)(-4x + 5) c) -4y(-4x -5y)

A: Given  a) (3x+4)(2x-2) Multiplying,  (3x+4)(2x-2) = (3x)(2x-2)+4(2x-2)…

Q: S(3x + 5)e3*+5 dx D 1 e3x+5 3 (3x +4) + C 3x+5(3x + 6) + C B)e C) e3*-5 (3x + 6) + C D) e3*+5(3x –…

A: Using substitution method of integration & By parts rule

Q: Find the coefficient of x3y2z3w in the expansion of(2x + 3y − 4z + w)9.

A: The given expansion is 2x+3y-4z+w9. We have to find the coefficient of x3y2z3w.

Q: What is the coefficient of z5y¹2 in the expansion of (1x + 2y)¹7?

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Q: (8y + 17) (бх - 7)" (3х - 29)

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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: [(3x2 – 2x + 3) dx - (A) x - x² + C (B) 3x - x2 + 3x + C (C) x - x + 3x + C (D) (3 - 2x + 3)? + C…

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Q: Select two expressions equivalent to 15a² – 5a - 11 (Select all that apply.) (14a² − 9a +1)+(a² + 4a…

A: Given; 15a2-5a-11.

Q: If x2 + 9x + 14 х2 — 49 is divided by Зх + 6 x2 + x – 56 , the quotient is:

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Q: In the expansion of (4x + y) ^ 9, the coefficient of x3y4 is

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Q: 8 105 = 8 8 8+102 +. + %3D (1+r)' (1+r)² (1+r)³ ' (1+r)*

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Q: (x3 — 6х? + 7х+ 6) by (х — 3)

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Q: Write the equivalent fraction for x2 4 that has a denominator of (x + 2)(x – 2)(2æ + 3). a) 10x +3…

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Q: (2a²b-3 [13] -2 (8x²y² -3a²b 3 Work: 3. 9.

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Q: 1) 7x - 58x + 16 A) (7x + 8)(x+ 2) B) (7x – 2(x+ 8) c) (7x – 2(x – 8) D) (7x + 2Xx- 8) 2) 2-1-3 A)…

A: According to our guidelines we are supposed to do only first three subparts. kindly repost other…

Q: What is the coefficient of (x^8)(y^12) in the expansion of (2x+3y)^20

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Q: 7(z+2)=2(z+3)

A: 7(z+2)=2(z+3)7×z+7×2=2×z+2×3

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: 6x2y³ - 12xy³ + 9x2y2z 3xy(xy 2xy + 3xy) O3a2y(2y2 - 2y1 +3yz) 4y³ + 3xz) О3xУ2 (2ху O O6xy³ (2xy³ —…

A: .

Q: Which of the following is equivalent to 4a2 - 25b6 ? (2a - 56) (2a + 56*) (2a - 56°) (2a + 56) (2a -…

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Q: 2.x2 + 2x + 9 dr J (x – 2)(x² + 4x + 9)

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Q: -4 [(b+ f) – (c+ r)] [(c+r) (d + g) + a (e + s) (b+ f)] K 2 [(b+ f) – (c+ r)] (2a (e+ s) (b+…

A: To understand the determine in blue ( 1st one )  consider the following image : On comparing the…

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: Which term of the expansion of (6+6)26 contains 30 Term number contains 30 x

A: Given: An Expansion of x6+626. We need to find which term of the expansion contains x30. To…

Q: C. Remove all grouping symbols and simplify 13. 2x-[(3y + 5x)-(8x-6y)] 14. 4a²-5(a + 3b)-[2(a² +…

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Q: (n3+n2logn234n)(2n+n12345)+(567logn10345n+19n)(n3+230)

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Q: Find the term involving x23 in the expansion of (x³ - x²)⁹.

A: Given expression: x3-x29 To find: Term involving x23