Hi there!
Answer:
96x - 4
Explanation:
8(1 + 6x) part
Firstly you need to expand the brackets, for the first bracket we will do the following:
8(1 + 6x)
We must multiply each side of the equation in the brackets by the value outside the brackets, in this calculation by 8:
(8 * 1) + ( 8 * 6x)
Which can be simplified to:
8 + 48x
6(8x - 2) part
Now, the other part of the expression will be calculated:
6(8x - 2)
First do the left hand side of the equation in the brackets:
6 * 8x = 48x
Now the left hand side:
-2 * 6 = -12
The 2 is negative as it is subtracting 2 in the equation.
This means together, the right hand simplifies to:
48x - 12
Now putting these two equations together we get:
8 + 48x + 48x - 12
Now, we can rearrange the equation so the figures that the two numbers without an x value can be next to each other.
8 - 12 + 48x + 48x
This can be simplified by subtracting 12 from 8:
8 - 12 = -4
That leaves 48x + 48x which can be simplified to 96x:
48x + 48x = 96x
So putting the two parts together gives a simplified expression of:
96x - 4
Hope this helps!