Question

125 minus 2 root 2 m cube + 3 root 3 n cube and + 15 root 6 mn

Answer 1

Given :   125  - 2√2 m³   + 3√3 n³    + 15√6  mn

To find : Factorize

Solution:

125  - 2√2 m³   + 3√3 n³    + 15√6  mn

= 5³  +  (-√2m)³   +  (√3 n)³  -  3 (5)(-√2m)(√3n)

x³+y³+z³−3xyz=(x+y+z)(x²+y²+z²−xy−yz−zx)

x = 5

y = -√2m

z = √3n

= (5 - √2m + √3n) ( 25  + 2m²  + 3n²  + 5√2m   + √6 mn  - 5√3n)

125  - 2√2 m³   + 3√3 n³    + 15√6  mn  = (5 - √2m + √3n) ( 25  + 2m²  + 3n²  + 5√2m   + √6 mn  - 5√3n)

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Answer 2

Step-by-step explanation:

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