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Roman55 [17]
2 years ago
13

( a+ b) ( a- b) ( a square + 4 square )​

Mathematics
2 answers:
ale4655 [162]2 years ago
6 0

Answer:

\sf a^4 +16a^2 -b^2 a^2 -16b^2

Explanation:

\sf ( a+ b) ( a- b) ( a^2 + 4^2)

expand

\sf (a^2-ba+ba-b^2 ) ( a^2 + 16)

simplify

\sf (a^2-b^2 ) ( a^2 + 16)

expand

\sf a^4 +16a^2 -b^2 a^2 -16b^2

Flura [38]2 years ago
3 0

Solution:

<u>Note that:</u>

  • Given expression: (a + b)(a - b)(a² + 4²)

Formula: (a + b)(a - b) = a² - b²

<u>Simplify the expression using the formula.</u>

  • (a + b)(a - b)(a² + 4²)
  • => {(a + b)(a - b)}(a² + 4²)
  • => (a² - b²)(a² + 16)
  • => a⁴ + 16a² - a²b² - 16b²
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