From the sum of 4 + 3x and 5 – 4x + 2x² , subtract the sum of 3x² – 5x and –x ²+ 2x + 5.

Dear Student

First we have to find out the sum of 4 + 3x and 5–4x + 2x²
= 4 + 3x + (5–4x + 2x²)
= 4 + 3x + 5–4x + 2x²
= 4 + 5 + 3x–4x + 2x²
= 9 - x + 2x²
= 2x² –x + 9 ... [equation 1]
Then, we have to find out the sum of 3x² –5x and–x² + 2x + 5
= 3x² –5x + (-x² + 2x + 5)
= 3x² –5x–x² + 2x + 5
= 3x² –x² –5x + 2x + 5
= 2x² –3x + 5 ... [equation 2]
Now, we have to subtract equation (2) from equation (1)
= 2x² - x + 9–(2x² –3x + 5)
= 2x² –x + 9–2x² + 3x–5
= 2x² –2x² –x + 3x + 9–5
= 2x + 4

Thanks