Question

Factors of a² - 4 are​

Answer 1

Answer:

a2-4.

a2-22.

Step-by-step explanation:

Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)

Proof : (A+B) • (A-B) =

A2 - AB + BA - B2 =

A2 - AB + AB - B2 =

A2 - B2

Note : AB = BA is the commutative property of multiplication.

Note : - AB + AB equals zero and is therefore eliminated from the expression.

Check : 4 is the square of 2

Check : a2 is the square of a1

Factorization is : (a + 2) • (a - 2)

Answer 2

${a}^{2} - 4$

$\implies {a}^{2} - {2}^{2}$

$\purple{ \sf{we \: know \: that : }}$

$\red{ \boxed{ \sf{x}^{2} - {y}^{2} = (x + y)(x - y)}}$

$\implies (a + 2)(a - 2)$

$\orange{ \therefore \sf factors \: of \: ({a}^{2} - 4) \: are \:(a + 2) \: and \: (a - 2)}$