# Find the sum of 4x^{3} + 2x^{2} - 4x + 3 and 7x^{3} - 4x^{2} + 7x + 8.

**Solution:**

The two given equations are

4x^{3} + 2x^{2} - 4x + 3 and 7x^{3} - 4x^{2} + 7x + 8

We have to find the sum of both

= 4x^{3} + 2x^{2} - 4x + 3 + 7x^{3} - 4x^{2} + 7x + 8

By rearranging the terms

= 4x^{3} + 7x^{3} + 2x^{2} - 4x^{2} - 4x + 7x + 3 + 8

So we get

= 11x^{3} - 2x^{2} + 3x + 11

Therefore, the sum is 11x^{3} - 2x^{2} + 3x + 11.

## Find the sum of 4x^{3} + 2x^{2} - 4x + 3 and 7x^{3} - 4x^{2} + 7x + 8.

**Summary:**

The sum of 4x^{3} + 2x^{2} - 4x + 3 and 7x^{3} - 4x^{2} + 7x + 8 is 11x^{3} - 2x^{2} + 3x + 11.

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