Use the product notation to rewrite the following expression. 7 (t – 6) · (t – 6) · (t - 6) (t4 – 6) (t5 – 6) · (t6 – 6) · (t7 - 6) П k = 1

Q: (Vx – 1)5

A:

Q: (n+14)2

A: Given expression is,

Q: (10t-9t square)+19(6t+3) after simplifying, what number is multiplied by the t?

A:

Q: 13-R] [CLO 3] Simplify the expression a2 b5 c4 / a3(b2)-3d-4 so that each variable appears at most…

A: a2b5c4a3(b2)-3d-4=b5c4a3-2(b2)-3d-4=b5c4a(b2)-3d-4

Q: 4. 7- (8n – 18) = 14 – 10(2n – 3) %3D 2

A: We have to simplify the given expression.

Q: . Expand: (i) (2x - 3y)4

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: d 2-1 da 1 (3x-1)√x dn

A:

Q: S L-₁ ((5 + 1)²) = eat + aebt (s Find a + b.

A: Inverse laplace transformation

Q: R - 9t + 14 factors to (t - 6)(t – 2) O True False

A: Given:    t2 - 9t + 14

Q: x dx Evaluate (4a² +9x?) 2

A:

Q: -2 – 3| – 4x - 3| : - 17

A: Opening the mod with both signs, positive and negative.

Q: 5x+1 7. Evaluate f (2x+1)(x-1)

A: Reduce the equation into two terms with the help of partial fractions.

Q: (9х? + 9 — 3x) — (4 — 6х + 8x?)

A:

Q: 2. (x-11)(5x-4)(x-3)

A:

Q: Simplify the given product below. (x - 5) O x2 + 25 O x2 - 10x + 25 O x - 5x + 25 O x2 + 10x + 25

A: Given x-52 To find the product

Q: [B] a b²(b-1)³

A:

Q: 3r 75

A:

Q: Find the 4 - x' -x²(4 – x²) = 2 i5 (4 - x*) + C 3 x²(4 – x²) 5 3 15

A: Please see the solutions below.

Q: 2 + J 3 5- j3 Simplity usingg exponeutical

A:

Q: x1 – x2 = -6 2x1 – x2 = -11 Ex: 42 x2 = Ex: 42

A:

Q: x? + 13x – 48 = (x – 3)(x 6. x? + 17xy – 60y? = (x + 20y)(x.

A: Given, x2+13x-48

Q: (24) Half the product of a number t and 48

A: The objective is to half the product of a number t and 48.

Q: y (y18 -10y8) 5/8 3/8 11/8 ().

A:

Q: Simplify the expression.

A: We have to simplify the expressions: (a)  z2z4z3z-1(b)  2a3a24(c)  -3z232z3 (a)…

Q: Q: Interpret the yate of change of (31 +S) (4u+2) y = with respect (2x+3) to

A:

Q: Simplify the following expression. (6y +9)(- 3y-3) (6y + 9)(- 3y – 3) = (Do not factor.)

A: Here we have to simplify given expression.

Q: (b) Simplify, 2n > (5r + 2) r=1

A: See the detailed solution below.

Q: (-4)* 5k +1 k=1

A: We have to find if the series convergent or divergent.

Q: 8. Evaluate (3x² +6x² – 4x +1)dx.

A:

Q: Use the product notation to rewrite the following expression. (7-t)-(7-t²). (7-³). (7-4) (7-5) = 5

A:

Q: Simplify the given product below. (4x-3)2 O 16x2 - 24x + 9 O 16x2 – 12x + 9 O 16x2 + 9 O 16x + 24x +…

A: Expanding the product using (a-b)^2

Q: Simplify the given product below. 4 (x2 + 5x + 1) O 4x2 - 20x - 4 O 2x2 + 20x + 4 O 4x2 + 9x + 4 O…

A:

Q: 3(3x-1=4(3x+1)

A: In the given equation first we distribute 3 over the terms in the parentheses of the left hand side…

Q: 1) x²y-xif x=-6 and y (b) 5x + ylif x=-12 and y

A: Topic:- algebra

Q: (x+6)(7+8)

A: (x+6)(7+8) = 0 (x+6)(15) = 0 x = -6

Q: (5y-9)(7y-10)=0

A: Given expression is