Math, asked by nickson13, 17 days ago

factorise 125m³+37n³

Answers

Answered by Himanshukulkarni

0

Answer:

125m3 + 37n3

Step-by-step explanation:

(125 • (m3)) + 37n3

53m3 + 37n3

3.1 Factoring: 125m3+37n3

Theory : A sum of two perfect cubes, a3 + b3 can be factored into :

(a+b) • (a2-ab+b2)

Proof : (a+b) • (a2-ab+b2) =

a3-a2b+ab2+ba2-b2a+b3 =

a3+(a2b-ba2)+(ab2-b2a)+b3=

a3+0+0+b3=

a3+b3

Check : 125 is the cube of 5

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