factorise : 125x³+8y³+z³-30xyz
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(5x+2y+z) (25x^2 +4y^2 + z^2 - 10xy - 2yz - 5zx)
Step-by-step explanation:
By the formula :
a^3 +b^3 +c^3 - 3abc = (a+b+c)(a^2+b^2+c^2 -ab -bc - ca) . we can solve this question.
=(5x+2y+z){(5x)^2+ (4y)^2+ (z)^2 - 10xy - 2yz - 5zx}
= (5x+2y+z)(25x^2 + 4y^2 + z^2 - 10xy - 2yz - 5zx)
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