(7a 3 −2a−2)+(−5a+3)

less than a minute read Jun 16, 2024
(7a 3 −2a−2)+(−5a+3)

Simplifying the Expression: (7a³ - 2a - 2) + (-5a + 3)

This expression involves combining like terms, which are terms that have the same variable and exponent. Let's break down the process step-by-step:

1. Identify Like Terms:

  • 7a³: This term has no other similar term in the expression.
  • -2a and -5a: These terms have the same variable ('a') and exponent (1).
  • -2 and 3: These are constant terms.

2. Combine Like Terms:

  • 7a³: There are no other terms with 'a³' so it remains the same.
  • -2a - 5a = -7a: Combine the coefficients of 'a'.
  • -2 + 3 = 1: Combine the constants.

3. Final Simplified Expression:

Putting everything together, the simplified expression is: 7a³ - 7a + 1

Therefore, the simplified form of (7a³ - 2a - 2) + (-5a + 3) is 7a³ - 7a + 1.

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