Question

How do I write an expression for “the square of the total of m and 10”

Answer 1

Answer:

The expression is, $(m+10)^{2}=m^{2} + 20m+100$.

Step-by-step explanation:

The statement is: “the square of the total of m and 10”

First consider the second part of the statement, i.e. "total of m and 10"

So, the total of m and 10 is: $(m+10)$

Now, take the square of the above expression as follows:

$(m+10)^{2}$

Thus, the expression for the statement “the square of the total of m and 10” is $(m+10)^{2}$.

On expanding this expression the resultant expression is:

$(m+10)^{2}=(m)^{2} + (2\times m\times10)+(10)^{2}\\=m^{2} + 20m+100$

Answer 2

"total" means "sum" more or less, so the total of m and 10 is m+10

The square of this is (m+10)^2

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If you want to expand this out, then you would get

(m+10)^2 = (m+10)(m+10)

(m+10)^2 = A(m+10) ... let A = m+10

(m+10)^2 = A*m + A*10

(m+10)^2 = m(A) + 10(A)

(m+10)^2 = m(m+10) + 10(m+10) .... plug in A = m+10

(m+10)^2 = m^2+10m+10m+100

(m+10)^2 = m^2+20m+100