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Anuta_ua [19.1K]
3 years ago
13

Factor x2a2 + 3xa2 + 2a2

Mathematics
1 answer:
Alenkasestr [34]3 years ago
5 0
I'm going to assume the equation is x^2 a^2 + 3x a^2 + 2a^2

You factor out the common term, which is a^2.
You would then get a^2(x^2+3x+2) as the answer.
Factor out (x^2+3x+2)

a^2(x+1)(x+2)
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pretty much about the same as before.

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\bf \begin{cases} a+b=65\\ \boxed{b}=65-a\\ \cline{1-1} 60a+55b=3775 \end{cases}\qquad \qquad \stackrel{\textit{substituting on the 2nd equation}}{60a+55\left( \boxed{65-a} \right)=3775} \\\\\\ 60a+3575-55a=3775\implies 5a+3575=3775\implies 5a=200 \\\\\\ a=\cfrac{200}{5}\implies \blacktriangleright a = 40 \blacktriangleleft \\\\\\ \stackrel{\textit{since we know that}}{b=65-a\implies }b=65-40\implies \blacktriangleright b=25\blacktriangleleft

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