Subtract. Express your answer as a polynomial in standard form.
(8x^3−4x^2+9x+8) − (6x^2−7x+8)=
To subtract the polynomials, we need to subtract each term separately.
(8x^3 - 4x^2 + 9x + 8) - (6x^2 - 7x + 8)
First, let's subtract the x^3 term:
8x^3 - 6x^2 = 2x^3
Next, subtract the x^2 term:
4x^2 - (-6x^2) = 4x^2 + 6x^2 = 10x^2
Next, subtract the x term:
9x - (-7x) = 9x + 7x = 16x
Finally, subtract the constant term:
8 - 8 = 0
Putting it all together, we have:
2x^3 + 10x^2 + 16x + 0
Simplifying further, we have:
2x^3 + 10x^2 + 16x