Answered

Welcome to Westonci.ca, the place where your questions find answers from a community of knowledgeable experts. Get the answers you need quickly and accurately from a dedicated community of experts on our Q&A platform. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.

which binomial is a factor of 8x^2y^3-18y

Sagot :

absor201

Answer:

Please check the explanation.

Step-by-step explanation:

Given the expression

[tex]8x^2y^3-18y[/tex]

Apply exponent rule:   [tex]a^{b+c}=a^ba^c[/tex]

[tex]8x^2y^3-18y=8yy^2-18y[/tex]    ∵ [tex]x^2y^3=yy^2[/tex]

                    [tex]=4\cdot \:2yy^2+9\cdot \:2y[/tex]

Factor out common term 2y

                    [tex]=2y\left(4x^2y^2-9\right)[/tex]

We know that the Binomial is an expression that consists of two terms. Thus,

(4x²y²- 9) represents the binomial factor of [tex]8x^2y^3-18y[/tex]

We can further simplify by Factoring 4x²y² - 9:  (2xy + 3) (2xy - 3)

                      [tex]=2y\left(2xy+3\right)\left(2xy-3\right)[/tex]

Here:

(2xy + 3) and (2xy -3) are the binomial factors of [tex]8x^2y^3-18y[/tex] as each of them consists of two terms.

Thanks for stopping by. We are committed to providing the best answers for all your questions. See you again soon. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. We're here to help at Westonci.ca. Keep visiting for the best answers to your questions.