Westonci.ca is the premier destination for reliable answers to your questions, provided by a community of experts. Discover precise answers to your questions from a wide range of experts on our user-friendly Q&A platform. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.
Sagot :
Answer:
we can conclude that:
[tex]3x^3\:-\:12xy^2=3x\left(x+2y\right)\left(x-2y\right)[/tex]
Step-by-step explanation:
Given the expression
[tex]3x^3-12xy^2[/tex]
Let us factorize the expression
[tex]3x^3-12xy^2[/tex]
Apply the exponent rule: [tex]a^{b+c}=a^ba^c[/tex]
[tex]3x^3\:-\:12xy^2=3xx^2-12xy^2[/tex]
Rewrite 12 as 4 · 3
[tex]=3xx^2-4\cdot \:3xy^2[/tex]
Factor out the common term 3x
[tex]=3x\left(x^2-4y^2\right)[/tex]
[tex]\mathrm{Apply\:Difference\:of\:Two\:Squares\:Formula:\:}x^2-y^2=\left(x+y\right)\left(x-y\right)[/tex]
[tex]=3x\left(x+2y\right)\left(x-2y\right)[/tex]
Therefore, we can conclude that:
[tex]3x^3\:-\:12xy^2=3x\left(x+2y\right)\left(x-2y\right)[/tex]
We hope this information was helpful. Feel free to return anytime for more answers to your questions and concerns. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Westonci.ca is your go-to source for reliable answers. Return soon for more expert insights.