How do you factor #125-8w^3#?
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"How do I change #int_0^1int_0^sqrt(1-x^2)int_sqrt(x^2+y^2)^sqrt(2-x^2-y^2)xydzdydx# to cylindrical or spherical coordinates?"
1 Answer
Nov 17, 2017
Explanation:
#"this is a "color(blue)"difference of cubes"#
#"and factorises in general as follows"#
#•color(white)(x)a^3-b^3=(a-b)(a^2+ab+b^2)#
#"here "(5)^3=125" and "(2w)^3=8w^3#
#rArra=5" and "b=2w#
#rArr125-8w^3#