A. Find the LCM of the following expressions. 1. 12x?y and 15x3y

Q: Determine the values of A, B, and C when y + 7 = 3(x+4) is written in standard form, Ax + By = C.

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Q: The number of positive divisors of 5000 is 7(5000) = Oa. 15 b. 20 O. 12 Od. 16 Oe. None

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Q: Differentiate the following: a) P = 15Q5 – 16Q b) P = 2Q-3 - 5Q-2 c) Q = 12aLa d) Q = AL²-a

A: Use normal property of derivative find differentiate . Here i attached solution of this question.

Q: 4. Simplify the given expression : (3Vx43.y* 2 x3.y-4 O 6"yl6 O 9ryl6 O 6x7ys O 9x37y8

A: SOLUTION-

Q: 9. The area of a field is represented by a² –12a+32 square metres. Find a simplified expression for…

A: given  Area =A=a2-12a+32width=W=2a2-13a-24 we know that  Area =A=length*width         A=LW

Q: 18) Which expression is equivalent to (9x²y9{? 1 (1) 3xy3 (2) Зху3 (3) xy3 (4) 3.

A: Given,             (9x2y6)-12

Q: What would 6w+5=8w+11 be?

A: Given equation is  6w+5=8w+11 Solve the equation for W To solve for 'w'  we need to get 'w' alone…

Q: 3) Fully simplify the following expressions and show work. За) 6x*y° (x°y³) b) (3a®y)³ c)

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Q: ta for each func tion WaphedA 2 2. 34 20 (2)

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Q: . O 17. Find the values of a, b,and cfor y = 4x2 – 8x – 12. a=

A: Explanation of the answer is as follows

Q: 1) Which expression is equivalent to 6(x +2y) +3+4y+5? 6x + 16y + 8 8x + 4y +8 6х + 6у + 8 8x + 7y+…

A: The given expression is: 6x+2y+3+4y+5

Q: 1) Which of the following expressions is equivalent to V135 ? А. 3V15 В. З5 C. 5V3 D. 3/5

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Q: Match the expression in column A to the equivalent expression in column B. Write the letter on the…

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Q: Which of the following is equivalent to the expression 9x2 - 16? O A. (3x-8)(3x + 8) O B. (3x-4)² O…

A: We will make use of the below mentioned algebraic identity to factorise the given expression

Q: What are the steps to calculating (4x2y − 3xy + 25) − (9y2 + 7xy − 20)?

A: Two expression are added or subtracted by adding or subtracting like terms. Like terms are the terms…

Q: A D 11. Choose the correctly simplified expression. 27 3 O 8z?y®z/yz 3 3 3

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Q: Find the product. (x + 3) (x – 3) O 2? – 9 O a2 - 6x-9 O r + 6x -9 O 22 + 9

A:

Q: Find the least common multiple of these two expressions. 5 6 24y x and 16,2,7 X and 16u yx

A: The least common multiple of two numbers is the smallest integer that is divisible by both numbers.

Q: Find the middle terms in the expanion of the following : 7 2r2 3x - 3

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Q: Which of the following expressions simplify to 4x? y? (4xy) (4x) (&xy²) (2r°yz) y(2x²y)

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Q: Write out expressions for (i) (ii) "P. (iii) (iv) 20P,

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Q: Identify all of the coefficients in the following expression. 8x+y-13 O 8,1 О 8х, у, -13 О 8, 13 O…

A:

Q: 1) Simplify the following expressions : d) 625 x12 y2 z20

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Q: OSS out vo oprah A m 0 10 TAT=(6)-(0) TAL=6 -3 2. 3. 3. 20 2. -3 [N] -2-6 30-3 A

A:

Q: Which of the following represents the expression 24x% written in simplest form? (1) (3) 4 (2) 4x (4)…

A: Apply the formula, xaxb=xa-bx-a=1xa So, 244x-1/26x5/2=4x-12-521

Q: Acshx+B SimhX=5ě+ 4e?

A:

Q: 5. Simplify the following and state any restrictions on the variable. 4x² – 20x а. 4x? –1 X +3 2x…

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Q: If D = w? - 7 and C = 3+ 10w, find an expression that equals D – C %3D - in standard form.

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Q: Evaluate the expression if r = 6 and y 4 and z = – 7 %3D I² – y – z

A: Given, x2-y-z x=-6y=4z=-7

Q: Which of the following is equivalent to the expression 9x² – 16? O A. (3x- 8)(3x + 8) O B. (9x -…

A: Using algebraic operator.

Q: If B = p+ 6 and C = 3p – 2, find an expression that equals 3B – C in standard form.

A:

Q: In many applications it is necessary to write the expressions in the form cx^n where c is constant…

A: Write74x6 in form ofcxn.    Here Constant C=7/4 and n=-6 is integer.

Q: Find the following expressions if a = (6r, 0, r), b = (6s, –s, 7s), and c = (2t, 10t, 5). a ·b = 1.…

A: We need to find dot product.

Q: 35.) Simplify the following expression. 2 (2xy³2 3x³y A) B) C) D) 3y4 2x4 4y3 5x3 4y3 6x3 2y4 3x4

A: Topic = Algebra

Q: Which of the following is equivalent to (16a*6º) * а.) Заb з b.) 2ab? c.) 4ab

A:

Q: How many of the following expressions can be simplified further? Зx? у — 2ху? + ху + 5x? x² – 4xy +…

A: Topic :- Algebra

Q: Divide the following expressions   1. 3x²y/ xy   2. 6x⁵y⁴/ 2xy³   3. x²-2x-3/ x-1   4. x²+5x+6/ x+2

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: 4. Add or subtract as indicated y - 2 2y – 15y + 12 ア- 16 y - 4

A: To simplify 45-1+322-270 To simplify y-2y-4+2y2-15y+12y2-16

Q: Which of the following pairs of monomials are NOT like terms? Select one: a, 25a а. 2 b. 5а?, -12а?…

A:

Q: Which pair of expressions are equivalent? O 3(2x – 3y); 6x – 3y O 12r – (z+ y); 11x + y O x(r+ 2y);…

A: I]  3 (2x - 3y) Multiply by 3  to ( 2x-3y), we get  3 x 2x- 3 x 3y  →  6x -9y which is not…

Q: Given that, b=d-c, fnd an find an expression fisr c în terms' of b and a

A: Answer

Q: If 4r = 24, what is the value of 8r + 5

A: For given equation we can multiply any non zero number to both sides. Same way we can also add any…

Q: Which of the following is the simplified expression? +6 y(2+6x) O 2(3z+1) 12y 2y(1+3x)

A: We have to find the simplification

Q: Evaluate the expression using x = 3, y = 4 and z = 1.

A: Given that, x = 3, y = 4, z = 1 and (9x)23 + (2y)23 + z23

Q: Evaluate the commutators [Lz, r²] and [Lz, p²] (where, of course, r² x² + y² +z? and p? = p? + p; +…

A: Given To evaluate the commutators Lz,r2 and Lz,p2 where r2=x2+y2+z2 and p2=px2+py2+pz2.

Q: The greatest common divisor of a = 270 and b = 330 is Oa 11 Ob None c 30 Od 3 Oe 36

A: Please refer the attached image for complete solution.

Q: Which of the choices below is equivalent to the following expression? V81x8. 8,,3 OA. 3 3x?y4 O B.…

A: The given expression is 81x8y34 The radical expression can be written as a fractional power and the…

Q: 17 Simplify the expression 6,,10 3a'y 12x y0. 3x'y A 15ry 11 B 36ry0 42,,10 c) 36x 11 D 36xyl

A: The given expression is: 12x-6y10·3x7y This expression can also be written as: 12x-6y10·3x7y=12·3…

Q: Simplify: 4(2r²1)* 24r t O 32rºt³ O 32r 3 O 24r t3

A: Simplification of the following is,