Drag each expression to show whether it is equivalent to −2.6−(−5.9) -2.6 x - -5.9 x , −2.6+(−5.9) -2.6 x + -5.9 x , or neither.

is equivalent to and

is equivalent to and .

The expressions which are equivalent to neither:

and

Step-by-step explanation:

Given the expressions:

1)

2)

To find:

The expressions equivalent to the given expressions.

or the expressions which are not equivalent to any of the given expressions.

Solution:

First of all, let us solve the brackets from the given expressions.

can be written as (because when we multiply a negative sign with negative, it becomes positive.)

Similarly can be written as (because when we multiply a positive sign with negative, it becomes negative.)

Therefore, the answer is:

is equivalent to and

is equivalent to and .

The expressions which are equivalent to neither:

and

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1