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17 votes
Expand the polynomial and simplify: 12a^2-4(1-2a)^2+8

2 Answers

9 votes

Answer:

-4a² + 16a + 4

Explanation:

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User Ed James
by
4.7k points
6 votes

Answer:

  • -4a² + 16a + 4

Explanation:

Simplify:

  • 12a² - 4(1 - 2a)² + 8 = ⇒ expand
  • 12a² - 4( 1 - 4a + 4a²) + 8 = ⇒ open parenthesis
  • 12a² - 4 + 16a - 16a² + 8 = ⇒ collect like terms
  • (12- 16)a² + 16a + (8 - 4) = ⇒ simplify
  • -4a² + 16a + 4 ⇒ answer
User Bahien Nguyen
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4.3k points