11. 77x⁴ - 72x² - 77
13. x⁴ - 29x² + 100
Answer (2)
To solve the expression 77 x 4 − 72 x 2 − 7713 x 4 − 29 x 2 + 100 , we first need to organize and combine like terms. This can be accomplished by following these simple steps:
Identify like terms: The expression has terms that involve x 4 and x 2 . These should be combined separately.
Combine the x 4 terms: 77 x 4 − 7713 x 4 = ( 77 − 7713 ) x 4 = − 7636 x 4
Combine the x 2 terms: − 72 x 2 − 29 x 2 = ( − 72 − 29 ) x 2 = − 101 x 2
Write the constant term: The constant term is simply + 100 .
Combine all the simplified parts: The final simplified expression is: − 7636 x 4 − 101 x 2 + 100
This expression is now in its simplest form, combining all like terms effectively.
The expressions 77x^4 - 72x^2 - 77 and x^4 - 29x^2 + 100 are already in their simplest forms. In each case, there are no like terms to combine. Thus, you can simply write them as they are without any further simplification.
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