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Find the H.C.F. of the following expressions:36(x³+x²y-12xy²), 54(x³y+4x³y²-21xy) ​

1 Answer

14 votes

Answer:

18x

Explanation:

The HCF is the highest factor common to both expressions. We can find it by factoring both expressions and identifying common factors.

Factorization

36(x³+x²y-12xy²) = 18x·2·(x +4y)(x -3y)

54(x³y+4x³y²-21xy) = 18x·3y·(x +7)(x -3)

The highest common factor is 18x.

User Jason Taylor
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