gupta23lalan
Answered

Discover answers to your questions with Westonci.ca, the leading Q&A platform that connects you with knowledgeable experts. Get expert answers to your questions quickly and accurately from our dedicated community of professionals. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

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

Sagot :

fieryanswererft

Answer:

[tex]\sf a^4 +16a^2 -b^2 a^2 -16b^2[/tex]

Explanation:

[tex]\sf ( a+ b) ( a- b) ( a^2 + 4^2)[/tex]

expand

[tex]\sf (a^2-ba+ba-b^2 ) ( a^2 + 16)[/tex]

simplify

[tex]\sf (a^2-b^2 ) ( a^2 + 16)[/tex]

expand

[tex]\sf a^4 +16a^2 -b^2 a^2 -16b^2[/tex]

Solution:

Note that:

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

Formula: (a + b)(a - b) = a² - b²

Simplify the expression using the formula.

  • (a + b)(a - b)(a² + 4²)
  • => {(a + b)(a - b)}(a² + 4²)
  • => (a² - b²)(a² + 16)
  • => a⁴ + 16a² - a²b² - 16b²
Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. We're glad you chose Westonci.ca. Revisit us for updated answers from our knowledgeable team.