2 years ago

Consider this expression.

Mathematics

1 answer:

schepotkina [342]2 years ago

5 0

Answer:

$9m^2 + 17m- 9$

Step-by-step explanation:

Given

$7m^2 + (2m - 1)(m + 9)$

Required:

Simplify

We start by opening the bracket

$7m^2 + (2m(m + 9) - 1(m + 9))$

$7m^2 + 2m^2 + 18m - m - 9$

Collect Like Terms

$9m^2 + 17m- 9$

Hence, the equivalent expression is $9m^2 + 17m- 9$

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1 year ago

Read 2 more answers

What two numbers add to be 6 and multiply to be 15

yarga [219]

$\displaystyle \bf \\
x_1+x_2=6\\\\
x_1\cdot x_2=15\\\\
\Longrightarrow~~x^2-6x+15=0\\\\
x_{12}=\frac{-b\pm\sqrt{b^2-4ac}}{2a}=\frac{6\pm\sqrt{36-60}}{2}=\\\\
=\frac{6\pm\sqrt{-24}}{2}=\frac{6\pm2\sqrt{-6} }{2}=3\pm i\sqrt{6}\\\\
x_1=\boxed{3-i\sqrt{6}}\\\\
x_2=\boxed{3+i\sqrt{6}}\\\\
\texttt{Verify:}\\\\
x_1+x_2=3-\underline{i\sqrt{6}}+3+\underline{i\sqrt{6}}=3+3=6~~correct\\\\
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3 years ago