document.write( "Question 1209800: Simplify (x^4 + x^3 + x^2 + x + 1) + (x^4 - x^3 + x^2 - x + 1). \n" ); document.write( "

Algebra.Com's Answer #850528 by CPhill(1987) $\"\"$ $\"About$

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To simplify the expression (x^4 + x^3 + x^2 + x + 1) + (x^4 - x^3 + x^2 - x + 1), we combine like terms:\r
\n" ); document.write( "\n" ); document.write( "1. **Combine the x^4 terms:**
\n" ); document.write( " x^4 + x^4 = 2x^4\r
\n" ); document.write( "\n" ); document.write( "2. **Combine the x^3 terms:**
\n" ); document.write( " x^3 - x^3 = 0\r
\n" ); document.write( "\n" ); document.write( "3. **Combine the x^2 terms:**
\n" ); document.write( " x^2 + x^2 = 2x^2\r
\n" ); document.write( "\n" ); document.write( "4. **Combine the x terms:**
\n" ); document.write( " x - x = 0\r
\n" ); document.write( "\n" ); document.write( "5. **Combine the constant terms:**
\n" ); document.write( " 1 + 1 = 2\r
\n" ); document.write( "\n" ); document.write( "Now, put the simplified terms together:\r
\n" ); document.write( "\n" ); document.write( "2x^4 + 0 + 2x^2 + 0 + 2 = 2x^4 + 2x^2 + 2\r
\n" ); document.write( "\n" ); document.write( "Therefore, the simplified expression is 2x^4 + 2x^2 + 2.
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