Question

x² - y² ,x³-y³ and x⁴+x²y² + y⁴

Factorize and LCM plss​

Answer 1

Step-by-step explanation:

Solution:

Given,

1st expression: x⁴ +x²y² +y⁴

= (x⁴ +y⁴) + x²y²

= (x²)² + (y²)² + x²y²

= (x² +y²) - 2x²y² +x²y²

= (x² +y²) - x²y²

= (x² +y²) - (xy)²

= (x² +xy +y²) (x² -xy +y²)

2nd expression: x³ -y³

= (x-y)(x²+xy+y²)

Now,

Lowest Common Multiples (LCM) = common factors* rest factors

= (x² +xy +y²) * (x-y)(x² -xy +y²)

= (x² -xy +y²) (x-y)(x²+xy+y²)

= (x² -xy +y²) (x³ -y³)

Hope it helps

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