x 2 − 36 z 2
( x − 6 z ) ( x + 6 z )
b ec a u se ...
x ∗ x = x 2
x ∗ 6 z = 6 x z − 6 z ∗ x = − 6 x z 6 x z − 6 x z = 0
− 6 z ∗ 6 z = − 36 z 2
The expression x 2 − 36 z 2 can be factored into ( x − 6 z ) ( x + 6 z ) using the difference of squares formula. This confirms that the factored form is accurate as it expands back to the original expression. Therefore, the factored form is ( x − 6 z ) ( x + 6 z ) .
;