Simplify (-2x-3+8x^2)/(1+4x)

Math
-2x-3+8×21+4x
Reorder terms.
8×2-2x-31+4x
For a polynomial of the form ax2+bx+c, rewrite the middle term as a sum of two terms whose product is a⋅c=8⋅-3=-24 and whose sum is b=-2.
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Factor -2 out of -2x.
8×2-2(x)-31+4x
Rewrite -2 as 4 plus -6
8×2+(4-6)x-31+4x
Apply the distributive property.
8×2+4x-6x-31+4x
8×2+4x-6x-31+4x
Factor out the greatest common factor from each group.
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Group the first two terms and the last two terms.
(8×2+4x)-6x-31+4x
Factor out the greatest common factor (GCF) from each group.
4x(2x+1)-3(2x+1)1+4x
4x(2x+1)-3(2x+1)1+4x
Factor the polynomial by factoring out the greatest common factor, 2x+1.
(2x+1)(4x-3)1+4x
Simplify (-2x-3+8x^2)/(1+4x)

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