anonymous
  • anonymous
find the square of (n+12)^2
Mathematics
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anonymous
  • anonymous
find the square of (n+12)^2
Mathematics
katieb
  • katieb
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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anonymous
  • anonymous
(n+12)^(2) Squaring an expression is the same as multiplying the expression by itself 2 times. (n+12)(n+12) Multiply each term in the first group by each term in the second group using the FOIL method. FOIL stands for First Outer Inner Last, and is a method of multiplying two binomials. First, multiply the first two terms in each binomial group. Next, multiply the outer terms in each group, followed by the inner terms. Finally, multiply the last two terms in each group. (n*n+n*12+12*n+12*12) Multiply n by n to get n^(2). (n^(2)+n*12+12*n+12*12) Multiply n by 12 to get 12n. (n^(2)+12n+12*n+12*12) Multiply 12 by n to get 12n. (n^(2)+12n+12n+12*12) Multiply 12 by 12 to get 144. (n^(2)+12n+12n+144) According to the distributive property, for any numbers a, b, and c, a(b+c)=ab+ac and (b+c)a=ba+ca. Here, n is a factor of both 12n and 12n. (n^(2)+(12+12)n+144) Add 12 to 12 to get 24. (n^(2)+(24)n+144) Remove the parentheses. (n^(2)+24n+144) Remove the parentheses around the expression n^(2)+24n+144. n^(2)+24n+144

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