Welcome to Westonci.ca, your go-to destination for finding answers to all your questions. Join our expert community today! Get detailed and precise answers to your questions from a dedicated community of experts on our Q&A platform. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.
Sagot :
Given:
The expression is:
[tex]12x^3+16xy+4x^2[/tex]
To find:
The greatest common factor of the given expression.
Solution:
We have,
[tex]12x^3+16xy+4x^2[/tex]
The terms of the expression are [tex]12x^3, 16xy, 4x^2[/tex]. The factor forms of these terms are:
[tex]12x^3=2\times 2\times 3\times x\times x\times x[/tex]
[tex]16xy=2\times 2\times 2\times 2\times x\times y[/tex]
[tex]4x^2=2\times 2\times x\times x[/tex]
The common factors are 2, 2, x. So, the greatest common factor is:
[tex]G.C.F.=2\times 2\times x[/tex]
[tex]G.C.F.=4x[/tex]
After taking out the G.C.F., the given expression can be written as:
[tex]12x^3+16xy+4x^2=4x(3x^2+4y+x)[/tex]
Therefore, the G.C.F. of the given expression is [tex]4x[/tex].
Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. We're dedicated to helping you find the answers you need at Westonci.ca. Don't hesitate to return for more.
