Find an expression which represents the difference when (-4x-2)(−4x−2) is subtracted from (-8x+3)(−8x+3) in simplest terms.
(add and subtract binomials)
nah, this is just another of those cut-and-paste repeat-the-math stupidities.
(-8x+3) - (-4x-2)
-8x+3 + 4x+2
-4x+5
(-8x+3)(−8x+3) - (-4x-2)(−4x−2)
= 64x^2 - 48x + 9 - (16x^2 + 16x + 4)
= 64x^2 - 48x + 9 - 16x^2 - 16x - 4
= 48x^2 - 64x + 5
To find the expression which represents the difference when (-4x-2)(-4x-2) is subtracted from (-8x+3)(-8x+3) in simplest terms, we need to simplify the expression step by step.
First, let's expand (-8x+3)(-8x+3) by using the FOIL method:
(-8x+3)(-8x+3) = (-8x)(-8x) + (-8x)(3) + (3)(-8x) + (3)(3)
= 64x^2 - 24x - 24x + 9
= 64x^2 - 48x + 9
Next, let's expand (-4x-2)(-4x-2):
(-4x-2)(-4x-2) = (-4x)(-4x) + (-4x)(-2) + (-2)(-4x) + (-2)(-2)
= 16x^2 + 8x + 8x + 4
= 16x^2 + 16x + 4
Now, let's subtract the expanded second expression from the expanded first expression:
(64x^2 - 48x + 9) - (16x^2 + 16x + 4)
To subtract, we distribute the negative sign to each term in the second expression:
64x^2 - 48x + 9 - 16x^2 - 16x - 4
Combine like terms:
(64x^2 - 16x^2) + (-48x - 16x) + (9 - 4)
48x^2 - 64x + 5
Therefore, the expression that represents the difference when (-4x-2)(-4x-2) is subtracted from (-8x+3)(-8x+3) in simplest terms is 48x^2 - 64x + 5.