factorise
8y^3+125z^3
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First make a complete cube.
= (2y)^3 + (5z)^3
USING THE IDENTITY,
a^3+b^3 = (a+b) (a^2-ab+b^2)
(2y)^3 + (5z)^3 = (2y+5z) (4y^2-10yz+25z^2)
Thus, the factorisation of 8y^3+125z^3 is (2y+5z) (4y^2-10yz+25z^2)
GIVEN,
Now,
Thank You!