IDNStudy.com, kung saan nagtatagpo ang mga eksperto para sagutin ang iyong mga tanong. Ang aming mga eksperto ay nagbibigay ng mabilis at eksaktong sagot upang tulungan kang maunawaan at malutas ang anumang problema.
Question: A square side measure [tex]3n^{2}-7[/tex], what is its area?
[tex]A.\:9n^{4}-49[/tex]
[tex]B.\:9n^{4}+49[/tex]
[tex]C.\:9n^{4}-21n^{2}+49[/tex]
[tex]{\boxed{D.\:9n^{4}-42n^{2}+49}}[/tex]
Formula (area of a square):
[tex]A=S^{2}[/tex]
Equation:
[tex]{\tt{(3n^{2}-7)^{2}}}[/tex]
Solution:
[tex]{\tt{(3n^{2}-7)^{2}}}\\{\tt{3n^{2}(3n^{2})=9n^{4}}}\\{\tt{3n^{2}(-7)=-21n^{2}}}\\{\tt{-7(3n^{2})=-21n^{2}}}\\{\tt{-7(-7)=49}}\\{\tt{9n^{4}-21n^{2}-21n^{2}+49}}\\{\boxed{\tt{9n^{4}-42n^{2}+49}}}[/tex]
Answer:
The area of the square is
[tex]{\orange{\boxed{\orange{\huge{\boxed{\sf{9n^{4}-42n^{2}+49}}}}}}}[/tex]
[tex]{\blue{\boxed{ItzyMidzy:))}}}[/tex]
#CarryOnLearning