How do you factor $25z^2 - 36b^2$ ?

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Answer 1 · 2016-03-20T16:31:55

$=color(blue)((5z + 6b) (5z - 6b)$

$25 z^2 - 36b^2$

The expression can also be written as:
$(5 z) ^2 - (6b)^2$

This is of the form :
$color(blue)(a^2 - b ^2 = (a+b)(a-b)$

$(5 z) ^2 - (6b)^2 = color(blue)((5z + 6b) (5z - 6b)$

The factorised form of the expression is:
$color(blue)((5z + 6b) (5z - 6b)$

How do you factor 25z^2 - 36b^2 25z^2 - 36b^2?