Question
the sum of \( 7 x^{2}-3 x+2 \) and \( 8 x^{2}+9 x-3 ? \)
Ask by Savage Stanley. in the United States
Mar 13,2025
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Answer
The sum is \(15x^{2}+6x-1\).
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The Deep Dive
To find the sum of the two expressions \( 7x^{2} - 3x + 2 \) and \( 8x^{2} + 9x - 3 \), simply add the corresponding coefficients of like terms: 1. Combine \( 7x^{2} \) and \( 8x^{2} \): \[ 7x^{2} + 8x^{2} = 15x^{2} \] 2. Combine \( -3x \) and \( 9x \): \[ -3x + 9x = 6x \] 3. Combine the constant terms \( 2 \) and \( -3 \): \[ 2 + (-3) = -1 \] Therefore, the sum of the two expressions is: \[ 15x^{2} + 6x - 1 \]