1 +2)(s+3) _00(s+2) =²+4)(s+1) 1

Q: 2 3 (25-x2) 2

A: Given:The integral is,

Q: 3) 3x3-x2+18X-6 (3x-x3)+ (1BX-)

A: From first two terms factor out x^2 From last two terms factor out 6

Q: 5) 4x+1 " 42

A: Law of exponent states that when multiplying like bases , keep the base the same and add the…

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: Show that (k^2 * (k+1)^2)/(4) + (k+1)^3 is equal to ((k+1)(k+2)/2)^2

A:

Q: 9+(_3)=

A:

Q: Multiply using the rule for the square of a binomial. (7x+4)² (7x + 4)² = ¯¯¯ TEM

A:

Q: 4 x(2 x+3)^{-5 / 9}+6 x^{2}(2 x+3)^{4 / 9}-8 x^{3}(2 x+3)^{13 / 9}

A: 4x 2x + 3-59+ 6x22x+349 -8x3 2x + 3139   =4x2x+359+6x22x+349-8x32x+3139Convert element to fraction:…

Q: i) 3(-2) – (-2)7 + (-1)_ 2(5) – 6(-3) =

A: 3(-2)- (-2)*7+-1=-6+14-1=19 3(-2)- (-2)*7+-1-2(5)-6(-3)=-6+14-1-10+18=19+8=27

Q: (*+)(LX +ン 2" (2n +1)

A:

Q: (2x* + 5x3 + 5x? + 10х + 8) + (x +2)

A:

Q: what is the coefficient of x^4 in (2x+1)^5

A: 2x+15 Comparing with a+bn, we get a=2x,  b=1  &  n=5

Q: (p+4)^{-3 / 2}+(p+4)^{-1 / 2}+(p+4)^{1 / 2}

A: Given the equation: (p+4)-32+(p+4)-12+(p+4)12 Now we need to rearrange the equation as per the…

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: Determine ¹ 4s² - 5s +6 (s+1)(s²+4)

A:

Q: (8y + 17) (бх - 7)" (3х - 29)

A:

Q: x3+6x-2 6) S- x++6x2

A:

Q: 15) 2x2- 7x +5

A: See the attachment

Q: 5! (5-3)"

A: Solution

Q: Expand (* + 2)x-2)- (x-2) O a x - 4 O b x -x- 6 x - 2x - 4x+ 8 x -x- 2 x - x O c e

A: The given function is x+2x-2-x-2.

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: Give a recursive definition with initial conditions of the set S SEE IMAGE

A:

Q: xp L(1+x*)* 8.

A: To evaluate: The integral  ∫-∞∞ x21+x22 dx

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

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

Q: 0² d0

A:

Q: 5[3m - (m + 4)] > -2(m - 4)

A: topic:- algebra

Q: CF5+21202(--5)

A:

Q: S + (2 + ² + 2)²³² de 호 t

A: Given, ∫t2t2+2-12dt

Q: 10. (3k2- 2k + 5) + (-2k² + 6k -7)

A:

Q: 4) (-7k+10 ) (k- 1)

A:

Q: Simplify x-1/2(x/5 – x) + (* ¬/5 – 1) (x^/?), -

A:

Q: What is the 6th term of (x - 1)¹0?

A: Given problem:- what is the 6th term of (x-1)10

Q: d 4 2 5х dx 5x* ) + 3x — 7х +9х + 8

A:

Q: (3 r+1)^{-2 / 3}+(3 r+1)^{1 / 3}+(3 r+1)^{4 / 3}

A: Using logarithmic property,