Question

Question 9.
From the sum of (4 + 3x) and (5 - 4x + 2x²), subtract the sum of (3x² – 5x) and (-x² + 2x + 5).​

Answer 1

Answer:

2x+4

Step-by-step explanation:

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 – x^2 – 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

Hope it helps..

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