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How do you multiply #(10w - 1)(10w + 1)#?

1 Answer

Jul 1, 2015

# =color(blue)( 100w^2 - 1#

Explanation:

#(10w - 1)(10w + 1)#

The expression is of the form:
#color(blue)( (a-b)(a+b) = a^2 - b^2 #

Here #color(blue)(a=10w, b=1#

# = (10w - 1)(10w + 1)#
# = (10w)^2 - 1^2#

# =color(blue)( 100w^2 - 1#

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