Choose the appropriate expression for each description. Please note that exponents, say will be displayed like x^2. 2² trinomial A perfect square Difference of squares Difference of cubes Sum of cubes

Q: Rationalize the denominator. 5 / (√3 - 1)

A: To Rationalize the denominator: multiply numerator  and denominator by the conjugate of the…

Q: Simplify (3x4)(2x7)

A: According to Algebraic expression propertiesaxm  x  bxn   = (a x b) x(m+n)axmbxn= ab xm-n

Q: rationalize the denominator and simplify. All variables represent positive real numbers. √3/(2 √5 +…

A: Rationalization In elementary algebra, rationalization is a process by which radicals in the…

Q: 6x + 5 > -2(x – 3) – 25

A: 6x + 5 > -2(x-3) - 25 6x + 5 > -2x + 6 - 25 Add (2x) on both side 8x + 5 > -19

Q: 2) 16-x%3x

A: In this question we have to find the value of x.

Q: Rationalize the denominator. 1/√7

A: Here we rationalize the denominator : 17

Q: simplify to create an equivelant expression 8-4(-x+5)

A: Expansion of brackets: a(b±c)=ab±ac

Q: Explain the difference between expanding an expression and factoring an expression.

A: The difference between expanding an expression and factoring an expression.

Q: Rationalize the denominator. (√5 + √3)/(√5 - √3)

A: Rationalize the denominator:                             (5+35-3)   Rationalizing the denominator…

Q: x² + 5x + 6 = (x + 2)(x +

A: Find the constant that completes the factorisation

Q: Express in simplest radical form. (125x6)

A: The given expression is: 125x653   As we know from the exponent rules; 1). a·bn=anbn 2). abc=abc,…

Q: Simplify: 5 - [3(x – 4) – 6x].

A: To simplify 5-3x-4-6x

Q: Rationalize the denominator. √2 / √5

A:

Q: Rationalize the denominator: 7/5 +√3

A: Rationalization is use to free denominator from radical terms. And then simplify the expression into…

Q: Evaluate or simplify the expression without using a calculator 10log53.

A: The given expression 10log53   Rule used: alogab=b

Q: If a ball is thrown from a height of 5 feet, the height of the ball, in feet, after x seconds can be…

A: the height of the ball h is given by  h = −16x2+50x+5  where x = time in seconds  at x = 0,   h = 5…

Q: 4- 3

A: To rationalise the denominator multiply by the conjugate of the denominator in denominator and…

Q: Evaluate or simplify the expression without using a calculator 10log33.

A: To simplify the expression 10log33.

Q: Simplify: 4 - [2(x – 4) – 5].

A: the given expression is: 4-2x-4-5 we have to simplify the given expression.

Q: The area of a triangle can be represented by the expression 14x5+63x2. If the base is 7x2, write an…

A:

Q: Evaluate the expression without using calculator. 3/2

A: GIVEN 36-32

Q: The side length of a cube can be represented by the expression 2x5. If the side length is doubled,…

A:

Q: 3x + 9x2 + 27x + 81x + 243x + ..

A: Find the radius of convergence

Q: Rationalize the denominator: 1 3

A:

Q: 72x5 y6

A: We want to simplify the given expression.

Q: Find the Least Common Denominator (LCD) of 3/ (x2 - 6x + 9) and 7/ (x2 - 9).

A: Least common denominator is the product of the denominators, if the denominators are prime. Given…

Q: Rationalize the denominator and simplify. 3/3-4

A:

Q: Simplify:  (6x3+ 5x) − (8x +6x3)

A: To simplify the given expression.

Q: 3/2

A: 732

Q: Evaluate or simplify the expression without using a calculator.

A: To evaluate the expression 10logx3 Properties of logarithm are: alogax=x Using above properties, the…

Q: What is the area of a newly opened cafe with length 3xy meters and width (3x2 + 6x + 10) meters?…

A:

Q: If the side of a square can be expressed as a2b3 , what is the area of the square in simplified…

A: Area of square = side2 Given side = a2b3

Q: Rationalize the denominator : 14 / (√7 - √5)

A: Solution:-  Rationalize the denominator  A=147-5

Q: Rationalize the denominator: (7 + 4√2) / (2 - 5√2)

A: Given fractions is 7+422-52

Q: Write the property of multiplication . 5 x (-2) = (-2) x 5

A:

Q: What is the area of a rectangle with length (3x+ 2) inches and width (4x+ 10) inches? Write your…

A:

Q: 2x 6x-5 23+ 2x

A: Given,

Q: Rationalize the denominator. V5

A: Given that 4/√5 Ans = (4√5)/5

Q: Write the value or values of the variable that make a denominator zero. (3/x + 3) =[(5/2x + 6) +(1/x…

A:

Q: Simplify: 3x + 8 + 9x - 5

A:

Q: Rationalize the denominator:  √3x/10

A: Given, 3x10 To rationalize the denominator.

Q: Express in simplest radical form. (125x6

A:

Q: 4x+6x-730

A:

Q: 2) (x² – 4x – 45) + (x – 9)

A:

Q: Rationalize the denominator. 11/3 - 3/2 3/2-2/3

A:

Q: -8405x³

A: We have to find

Q: What 2x+3x

A: Consider the given expression 2x+3x. The objective of the problem is to find the value of the given…

Q: simplify  (1/5x5 ) ( -1/3x6)

A: