Simplify −1/2(32x−40)+(20x−4) . Write your answer in factored form.
idk
To simplify the expression, let's start by distributing the negative sign outside the parentheses and distributing the multiplication inside the parentheses:
−1/2(32x − 40) + (20x − 4)
= -1/2 * 32x + 1/2 * 40 + 20x - 4
= -16x + 20 + 20x - 4
Now, let's combine like terms by adding the x terms together and adding the constant terms together:
-16x + 20 + 20x - 4
= (20x + (-16x)) + (20 + (-4))
= 20x - 16x + 20 - 4
= 4x + 16
The simplified expression, written in factored form, is 4x + 16.
To simplify the expression -1/2(32x - 40) + (20x - 4) and write it in factored form, let's start by distributing the -1/2 to the terms inside the parentheses:
-1/2(32x - 40) + (20x - 4)
= (-1/2 * 32x) + (-1/2 * -40) + (20x - 4)
= -16x + 20 + 20x - 4
Next, combine the like terms:
(-16x + 20) + (20x - 4)
= -16x + 20x + 20 - 4
= 4x + 16
The expression -1/2(32x - 40) + (20x - 4) simplifies to 4x + 16.
To write it in factored form, we can take out the common factor of 4:
4x + 16 = 4(x + 4)
So, the simplified expression in factored form is 4(x + 4).