Question

solve using identity (a² + b²)(-a² + b²)​

Answer 1

Answer:

(a-b)²

Step-by-step explanation:

The answer is (a-b)²

(a-b)² = (a² + b²)(a² - b²)

Answer 2

Answer:

b⁴ - a⁴

Step-by-step explanation:

$(a {}^{2} + b {}^{2}) \times ( - a {}^{2} + b {}^{2} )$

Use the commutative property to reorder the terms

$= (b {}^{2} + a {}^{2} ) \times (b {}^{2} - a {}^{2} )$

Using (a - b) (a + b) = a² - b², simplify the product

$= b {}^{4} - a {}^{4}$