Answered

IDNLearn.com: Where questions are met with accurate and insightful answers. Get timely and accurate answers to your questions from our dedicated community of experts who are here to help you.

Rewrite the expression in standard mathematical form:

[tex]\[ 3m^2(2m^2 - 4mn + n^2) \][/tex]

Sagot :

GinnyAnsweridn
Let's solve the given expression step-by-step:

Given expression:
[tex]\[ 3m^2 \left(2m^2 - 4mn + n^2\right) \][/tex]

To simplify the expression, we need to distribute [tex]\(3m^2\)[/tex] through the polynomial inside the parentheses:

1. Distribute [tex]\(3m^2\)[/tex] to [tex]\(2m^2\)[/tex]:
[tex]\[ 3m^2 \cdot 2m^2 = 6m^4 \][/tex]

2. Distribute [tex]\(3m^2\)[/tex] to [tex]\(-4mn\)[/tex]:
[tex]\[ 3m^2 \cdot -4mn = -12m^3n \][/tex]

3. Distribute [tex]\(3m^2\)[/tex] to [tex]\(n^2\)[/tex]:
[tex]\[ 3m^2 \cdot n^2 = 3m^2n^2 \][/tex]

Now, combine all the distributed terms:
[tex]\[ 6m^4 - 12m^3n + 3m^2n^2 \][/tex]

Thus, the simplified form of the expression [tex]\(3m^2 \left(2m^2 - 4mn + n^2\right)\)[/tex] is:
[tex]\[ 6m^4 - 12m^3n + 3m^2n^2 \][/tex]

So, the final simplified expression is:
[tex]\[ 3m^2 \left(2m^2 - 4mn + n^2\right) = 6m^4 - 12m^3n + 3m^2n^2 \][/tex]
Thank you for using this platform to share and learn. Keep asking and answering. We appreciate every contribution you make. Find clear and concise answers at IDNLearn.com. Thanks for stopping by, and come back for more dependable solutions.