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

1 Answer
Don't Memorise
Mar 20, 2016

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

Explanation:

#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)#

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