swadeshdarai14
Answered

Explore Westonci.ca, the leading Q&A site where experts provide accurate and helpful answers to all your questions. Explore thousands of questions and answers from a knowledgeable community of experts on our user-friendly platform. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

factorise 3x^3 - 12xy^2​

Sagot :

absor201

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 was helpful. Please come back whenever you need more information or answers to your queries. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Thank you for visiting Westonci.ca, your go-to source for reliable answers. Come back soon for more expert insights.