1. Find the sum of 3x2 - 2x + 4 and 4x² + 4x - 7.
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Step-by-step explanation:
\huge\sf{Solution}Solution
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
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