Add the polynomials. (Simplify your answer completely.) $$ \left(-7 a^{2}-a b+17 b^{2}\right)+\left(8 a^{2}-b^{2}\right) $$ SUBMIT ANSWER

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UpStudy AI · Accepted Answer

To add the given polynomials, follow these steps:

$$
\left(-7 a^{2} - a b + 17 b^{2}\right) + \left(8 a^{2} - b^{2}\right)
$$

1. **Combine like terms:**
   - **$$a^{2}$$ terms:** $$-7 a^{2} + 8 a^{2} = a^{2}$$
   - **$$b^{2}$$ terms:** $$17 b^{2} - b^{2} = 16 b^{2}$$
   - **$$ab$$ term:** $$-a b$$ (unchanged)

2. **Write the simplified polynomial:**
   
$$
a^{2} - a b + 16 b^{2}
$$

**Final Answer:**

$$
a^{2} - a b + 16 b^{2}
$$
$$ a^{2} - a b + 16 b^{2} $$

Add the polynomials. (Simplify your answer completely.)

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Add the polynomials. (Simplify your answer completely.) SUBMIT ANSWER