what is equivalent expression to (4-x) (x+2)
The equivalent expression to (4-x)(x+2) is 4x + 8 - x^2 - 2x.
To find an equivalent expression for (4-x)(x+2), we can expand the expression using the distributive property:
(4-x)(x+2) = 4(x) + 4(2) - x(x) - x(2)
Simplifying further, we have:
= 4x + 8 - x^2 - 2x
Now, let's rearrange the terms in descending order of their exponents:
= -x^2 + 4x - 2x + 8
Next, let's combine like terms:
= -x^2 + 2x + 8
Therefore, the equivalent expression to (4-x)(x+2) is -x^2 + 2x + 8.
To find an equivalent expression to (4 - x)(x + 2), we can expand and simplify it.
(4 - x)(x + 2) can be expanded using the distributive property:
(4 - x)(x + 2) = 4(x) + 4(2) - x(x) - x(2)
Now we simplify:
= 4x + 8 - x^2 - 2x
Rearranging the terms:
= -x^2 + 4x - 2x + 8
Combining like terms:
= -x^2 + 2x + 8
Therefore, an equivalent expression to (4 - x)(x + 2) is -x^2 + 2x + 8.