Factoring: x2-64
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 : 64 is the square of 8
Check : x2 is the square of x1
Factorization is : (x + 8) • (x - 8)
Final result : (x + 8) • (x - 8)
