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# What is the difference between the polynomials? (8r^{6}s^{3} - 9r^{5}s^{4} + 3r^{4}s^{5}) - (2r^{4}s^{5} - 5r^{3}s^{6} - 4r^{5}s^{4})

**Solution:**

We have to find the difference between the polynomials

(8r^{6}s^{3} - 9r^{5}s^{4} + 3r^{4}s^{5}) - (2r^{4}s^{5} - 5r^{3}s^{6} - 4r^{5}s^{4})

By multiplying the negative sign

= 8r^{6}s^{3} - 9r^{5}s^{4} + 3r^{4}s^{5} - 2r^{4}s^{5} + 5r^{3}s^{6} + 4r^{5}s^{4}

Let us combine the like terms of same power

= 8r^{6}s^{3} - (9r^{5}s^{4} - 4r^{5}s^{4}) + (3r^{4}s^{5} - 2r^{4}s^{5}) + 5r^{3}s^{6}

On simplification, we get

= 8r^{6}s^{3} - 5r^{5}s^{4} + r^{4}s^{5} + 5r^{3}s^{6}

Therefore, the difference between the polynomials is (8r^{6}s^{3} - 5r^{5}s^{4} + r^{4}s^{5} + 5r^{3}s^{6}).

## What is the difference between the polynomials? (8r^{6}s^{3} - 9r^{5}s^{4} + 3r^{4}s^{5}) - (2r^{4}s^{5} - 5r^{3}s^{6} - 4r^{5}s^{4})

**Summary:**

The difference between the polynomials is (8r^{6}s^{3} - 5r^{5}s^{4} + r^{4}s^{5} + 5r^{3}s^{6}).

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