Question

What is the LCM of (48y3 + 432y2 + 972y) and (8y4 + 20y3 - 72y2)?​

Answer 1

Given :- What is the LCM of (48y³ + 432y² + 972y) and (8y⁴ + 20y³ - 72y²) ?

Answer :-

→ 48y³ + 432y² + 972y = 12y(4y² + 36y + 81) = 3 * 4y * (4y² + 36y + 81) .

→ (8y⁴ + 20y³ - 72y²) = 4y²(2y² + 5y - 18) = y * 4y * (2y² + 5y - 18)

So,

→ LCM = 3 * 4y * (4y² + 36y + 81) * y * (2y² + 5y - 18)

→ LCM = 12y²(4y² + 36y + 81)(2y² + 5y - 18) (Ans.)

Note :- { if asked HCF , it will be 4y . }

Learn more :-

वह छोटी से छोटी संख्या बताईये जिसमे 7,9,11 से भाग देने पर 1,2,3 शेष बचे

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