An expression is shown below: 2x3y + 18xy − 10x2y − 90y Part A: Rewrite the expression by factoring out the greatest common factor. Part B: Factor the entire expression completely. Show the steps of your work.
Mathematics · Middle School · Mon Jan 18 2021
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Given the numerical expression
2x^3y + 18xy - 10x^2y - 90y
Factor the expression.
Solution:
In order to factor the given numerical expression we simply look at the common factors of all the numerical coefficients, hence since we have 2, and all the other coefficients are even, we can then factor out 2. The next step is to look at the common term for each value. It can be seen that of the 4 values only 3 have the term x, while 4 contains the term y, therefore we can factor out y from the equation. Hence, we can write it as 2y.
= 2x^3y + 18xy - 10x^2y - 90y
= 2y (x^3 + 9x - 6x^2 - 45)
Final answer:
= 2y (x^3 + 9x - 6x^2 - 45)