Question

Which of the following expressions are equivalent to 36x+24y chose ALL that apply Answer choices: 6x(6+4y). 6(6x+4y). 12(36x+24y). 12(3x+2y). 4y(9x+6).

Answer 1

The expressions equivalent to 36x + 24y are 6(6x+4y) and 12(3x+2y), as they are the only ones that expand to match the original expression exactly.

Step-by-step explanation:

To determine which expressions are equivalent to 36x + 24y, we need to factor or expand the given options and compare them to the original expression.

6x(6+4y) expands to 36x + 24xy, which is not equivalent to 36x + 24y because of the additional xy term.

6(6x+4y) expands to 36x + 24y, which is equivalent to the original expression.

12(36x+24y) expands to 432x + 288y, which is not equivalent to 36x + 24y because the coefficients are different.

12(3x+2y) expands to 36x + 24y, which is equivalent to the original expression.

4y(9x+6) expands to 36xy + 24y, which is not equivalent to 36x + 24y because of the additional xy term.

Therefore, the equivalent expressions to 36x + 24y are 6(6x+4y) and 12(3x+2y).

Answer 2

Answer:

The correct options are:

6(6x + 4y)

12(3x + 2y)

Step-by-step explanation:

Given the expression:

36x + 24y

This may be expressed as follows:

6(6x + 4y) - Because 6 is a common factor of 36x and 24y

12(3x + 2y) - Because 12 is a common factor of 36x and 24y