Question

18x^(2)-42xy+20xy^(2)

Answer 1

2(3x - 5y)(3y - 2x)

Explanation:

18x^(2) - 42xy + 20xy^(2)

We can simplify this expression by factoring out the greatest common factor of all the terms, which is 2:

2(9x^(2) - 21xy + 10xy^(2))

Now, we can factor the expression inside the parentheses by looking for two numbers that multiply to 90 (the product of 9 and 10) and add to -21 (the coefficient of the middle term). These numbers are -15 and -6:

2(3x - 5y)(3y - 2x)