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castortr0y [4]
2 years ago
7

Use the identity below to complete the tasks:

Mathematics
1 answer:
pashok25 [27]2 years ago
4 0

Answer:

a = 5r² and b = r²s

Step-by-step explanation:

a3 - b3 = (a - b)(a + ab + b2)

Expressing 125q^6-r^6s^3 as a difference of 2 cubes

125q^6-r^6s^3  

= 5³(r²)³ - (r³)²s³

= (5r²)³ - (r²s)³

Comparing with a³ - b³

a = 5r² and b = r²s

Hence the value of a is 5r² and b is r²s

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