How do you simplify (x+2)+(x-2)(2x+1)?

How do you simplify (x+2)+(x-2)(2x+1)?
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Deacon Osborn
To solve:
(x+2)+(x-2)(2x+1),
first multiply the two binomials on the right.
We can use the FOIL method here:
Mulitply the first terms:
$x\cdot 2x=2{x}^{2}$
Multiply the outer terms:
x*1=x
Multiply the inner terms:
-2*2x=-4x
Multiply the last terms:
-2*1=-2
$2{x}^{2}+x-4x-2$
$=2{x}^{2}-3x-2$
This means that
$\left(x-2\right)\left(2x+1\right)=2{x}^{2}-3x-2$
Now we can use this to simplify the original problem:
(x+2)+(x-2)(2x+1)
$=x+2+2{x}^{2}-3x-2$
$=2{x}^{2}-2x$
Not exactly what you’re looking for?
Biscatta9rz
Explanation:
(x-2)(2x+1)
=x(2x+1)-2(2x+1)
$=2{x}^{2}+x-4x-2$
$=2{x}^{2}-3x-2$
So
(x+2)+(x-2)(2x+1)
$=x+2+2{x}^{2}-3x-2$
$=2{x}^{2}-2x$
$2{x}^{2}-2x$
or
2x(x-1)