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In Mathematics / High School | 2014-05-19

What is the factored form of [tex]x^2 - 36z^2[/tex]?

Asked by EdytheSkaar

Answer (2)

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

Answered by iloveonedirection | 2024-06-10

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 ) .
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Answered by iloveonedirection | 2024-12-26