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Lubov Fominskaja [6]
3 years ago
14

Simplify 6m2n3 – 3m3n2 + 8m2n3 + 12m3n2

Mathematics
1 answer:
NISA [10]3 years ago
6 0
Hello! Hope I can assist you.

Let us simplify some terms first!

6m\cdot \:2n\cdot \:3 \ \textgreater \  36mn
3m\cdot \:3n\cdot \:2 \ \textgreater \  2\cdot \:3^2mn
8m\cdot \:2n\cdot \:3 \ \textgreater \  48mn
12m\cdot \:3n\cdot \:2 \ \textgreater \  72mn

36mn-2\cdot \:3^2mn+48mn+72mn

From here, group like terms
36mn-2\cdot \:3^2mn+48mn+72mn

\mathrm{Add\:similar\:elements:}\:36mn+48mn+72mn=156mn
156mn-2\cdot \:3^2mn

2\cdot \:3^2mn \ \textgreater \  2\cdot \:9mn \ \textgreater \  18mn

156mn-18mn

\mathrm{Add\:similar\:elements:}\:156mn-18mn=138mn

Hope this helps!
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Step-by-step explanation:

y = -3x² + mx + 10

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When dy/dx = 0, -6x + m = 0. => x = m/6.

We have y = -3(m/6)² + m(m/6) + 10 = 37.

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