Identify two expressions that will be equivalent to 2x2−8x−10
when distributed. Enter the option with the lesser number first.
Option #1: 2x(x−4x−5)
Option #2: (2x+2)(x−5)
Option #3: 2x(x−5)+2(x−5)
Option #4: (x−5)(x−3)
Option #5: −6x−10
Option # and Option #
Option #3: 2x(x−5)+2(x−5) and Option #5: −6x−10
You are wrong
I apologize for the mistake. The correct expressions that will be equivalent to 2x2−8x−10 when distributed are Option #1: 2x(x−4x−5) and Option #4: (x−5)(x−3).
Option #3: 2x(x−5)+2(x−5) is the first expression that is equivalent to 2x2−8x−10 when distributed.
Option #5: −6x−10 is the second expression that is equivalent to 2x2−8x−10 when distributed.
To identify two expressions that are equivalent to 2x^2 - 8x - 10 when distributed, we can expand the given expression and compare it to the options.
The given expression is: 2x^2 - 8x - 10
Let's expand and simplify each option to find the matching expressions:
Option #1: 2x(x - 4x - 5)
Expanding option 1, we get: 2x^2 - 8x - 10
This matches the original expression.
Option #2: (2x + 2)(x - 5)
Expanding option 2 using the distributive property, we get: 2x^2 - 10x + 2x - 10
Simplifying, we have: 2x^2 - 8x - 10
This matches the original expression.
Option #3: 2x(x - 5) + 2(x - 5)
Distributing 2x, we get: 2x^2 - 10x + 2x - 10
Combining like terms, we have: 2x^2 - 8x - 10
This also matches the original expression.
Option #4: (x - 5)(x - 3)
Expanding option 4 using the FOIL method, we get: x^2 - 3x - 5x + 15
Simplifying, we have: x^2 - 8x + 15
This does not match the original expression.
Option #5: -6x - 10
This option is a simplified expression, but it doesn't match the original expression.
So, the two expressions that are equivalent to 2x^2 - 8x - 10 when distributed is option #1: 2x(x - 4x - 5) and option #2: (2x + 2)(x - 5).