Question

Mila factored m2 + 12mn + 144n2 as shown.
I know that since$\sqrt{m ^{2} }$ = m and $\sqrt{144n ^{2} }$ =12n the first and third terms of the trinomial are perfect squares. This means that m2 + 12mn + 144n2 = (m + 12)2.

Comment of Mila’s strategy.

Answer 1

The expression cannot be factored because it can't be changed into (m + 12)².

(m + 12n)²
m² + 24mn + 144n²

Answer 2

Mila’s strategy is not correct since m²+12mn+144n²≠(m+12n)².

The given trinomial is m²+12mn+144n² and $\sqrt{m^{2} }$=m, $\sqrt{144n^{2} }$=12n.

What is factorisation?

In mathematics, factorization or factoring consists of writing a number or another mathematical object as a product of several factors, usually smaller or simpler objects of the same kind.

Now, let us use (a+b)²=a²+2ab+b² to simplify the given trinomial.

That is, m²+12mn+144n²=m²+2×12mn+(12n)²

= m²+24mn+144n²=(m+12n)²

Therefore, Mila’s strategy is not correct since m²+12mn+144n²≠(m+12n)².

To learn more about factorisation visit:

https://brainly.com/question/20293447.

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