Which expression is equivalent to 60x^20y^24/30x^10y^12 ?

The correct answer is 2X¹⁰Y¹²

Step-by-step explanation:

Points to remember

identities

Xᵃ * Xᵇ = X⁽ᵃ⁺ᵇ⁾

Xᵃ/Xᵇ = X⁽ᵃ⁻ᵇ⁾

To find the equivalent to given expression

It is given that,

60X²⁰Y²⁴/30X¹⁰Y¹²

Using identities we can write,

60X²⁰Y²⁴/30X¹⁰Y¹² = (60/30) * (X²⁰/X¹⁰) * (Y²⁴/y¹²)

  = 2 * X⁽²⁰ ⁻ ¹⁰⁾ * Y⁽²⁴ ⁻ ¹²⁾

  = 2 * X¹⁰ * Y¹²

  = 2X¹⁰Y¹²

The correct answer is 2X¹⁰Y¹²

f(x) = x^3 -2x^2 -3x

x( x^2 -2x-3)

x( x^2 +x -3x -3)

x( x(x+1) -3(x+1))

x( x-3)( x+1)

so zeroes are 0, 3,-1

its (2) option

it's equivalent, so we can say that its equal.

let's call the denominator x and the numerador is 18 less then denominator, x - 18.

multiply

2.x = 5.(x - 18)

2x = 5x - 90

90 = 5x - 2x

90 = 3x

x = 90/3

x = 30

so: