Pregunta
the sum of \( 7 x^{2}-3 x+2 \) and \( 8 x^{2}+9 x-3 ? \)
Ask by Vaughan Chambers. in the United States
Mar 13,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
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The sum is \(15x^{2}+6x-1\).
Solución
Calculate or simplify the expression \( 7x^2-3x+2+8x^2+9x-3 \).
Simplify the expression by following steps:
- step0: Solution:
\(7x^{2}-3x+2+8x^{2}+9x-3\)
- step1: Add the terms:
\(15x^{2}+6x-1\)
The sum of \(7x^{2}-3x+2\) and \(8x^{2}+9x-3\) is \(15x^{2}+6x-1\).
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Beyond the Answer
To find the sum of the two expressions \( 7 x^{2}-3 x+2 \) and \( 8 x^{2}+9 x-3 \), you simply add the corresponding coefficients of each term: 1. For \( x^2 \) terms: \( 7x^2 + 8x^2 = 15x^2 \) 2. For \( x \) terms: \( -3x + 9x = 6x \) 3. For the constant terms: \( 2 - 3 = -1 \) Now, combine these results: \[ 15x^2 + 6x - 1 \] So, the sum of the two expressions is \( 15x^2 + 6x - 1 \).

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