How to work out #/17^2-15^2#?

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Answer 1 · 2017-12-28T14:20:57

64

The difference of two squares can be written as

#a^2 - b^2 = (a+b)(a-b)#

Using this formula,

#17^2 - 15^2 = (17 + 15)(17-15)#
#17^2 - 15^2 = (32)(2)#
#17^2 - 15^2 = 64#

Answer 2 · 2017-12-28T15:13:23

#64#

#"using the "color(blue)"difference of squares"#

#•color(white)(x)a^2-b^2=(a-b)(a+b)#

#rArr17^2-15^2#

#=(17-15)(17+15)#

#=2xx32=64#