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(a-3)^2-a(5a-6) При A=-1/2

less than a minute read Jun 16, 2024
(a-3)^2-a(5a-6) При A=-1/2

Solving the Expression (a-3)^2 - a(5a-6) When a = -1/2

This problem involves simplifying an algebraic expression and then substituting a specific value for the variable. Let's break it down step-by-step:

1. Simplify the Expression:

  • Expand the square: (a-3)^2 = (a-3)(a-3) = a^2 - 6a + 9
  • Distribute the 'a': -a(5a-6) = -5a^2 + 6a

Now the expression becomes: a^2 - 6a + 9 - 5a^2 + 6a

  • Combine like terms: -4a^2 + 9

2. Substitute a = -1/2:

  • -4(-1/2)^2 + 9
  • -4(1/4) + 9
  • -1 + 9
  • 8

Therefore, the value of the expression (a-3)^2 - a(5a-6) when a = -1/2 is 8.

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