Question 952480: Simplify the expression.
2x(2x + x^2) + 3x(4x - 2x^2)
Answer by addingup(3677)   (Show Source):
You can put this solution on YOUR website! 2x(2x + x^2) + 3x(4x - 2x^2)
2xx(x+2)+ 3x - 2x(x-2)Combine on left
2x^2(x+2) On the right we are going to isolate some elements and recombine:
3x(-2)x <-- see how we isolated the -2 and the x. The rest of this equation, (x-2), stays the same.
Now recombine, like this:
3x^2(-2)(x-2) And rewrite following it's original form:
2x^2(x+2)+3x^2(-2)(x-2). Multiply 3x^2(-2) and you get -6x^2. Substitute:
2x^2(x+2)-6x^2(x-2) Factor out x^2, like this:
x^2(2(x+2))-6(x-2) On the left, distribute 2 over (x+2):
2x+4 And on the right distribute -6 over (x-2):
12-6x Now we have:
x^2(2x+4+12-6x Group like terms:
x^2(-4x+16) rewrite to make it pretty:
x^2(16-4x) Finally, 16 and 4 are both divisible by 4. Factor out this 4:
x^2(4(4-x)) The end, cannot be simplified any more.
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