Question

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

Answer 1

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

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

Answer 2

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