Question

The factors of 4a2 - 16 are​

Answer 1

Answer:

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Step-by-step explanation:

4a2 - 16 = 4 • (a2 - 4)

Trying to factor as a Difference of Squares:

3.2 Factoring: a2 - 4

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)

Final result :

4 • (a + 2) • (a - 2)

Answer 2

Answer:

(2a - 4) and (2a + 4)

Step-by-step explanation:

$4a^2 - 16\\a^ 2 - b^2 = (a+b)(a-b)\\(2a)^2 - (4)^2 = (2a - 4)(2a + 4)$