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zzz [600]
2 years ago
9

Find the missing term.

Mathematics
1 answer:
igor_vitrenko [27]2 years ago
5 0

Equations are used to relate equal expressions.

The missing term is: \mathbf{  m -1}

The equation is given as:

\mathbf{\frac{m - n}{m^2 - n^2} + \frac{?}{(m -1)(m -n)} = \frac{2m}{m^2 - n^2}}

Express \mathbf{m^2 - n^2\ as\ (m - n)(m + n)}

So, we have:

\mathbf{\frac{m - n}{(m - n)(m + n)} + \frac{?}{(m -1)(m -n)} = \frac{2m}{(m - n)(m + n)}}

Multiply through by \mathbf{m - n}

\mathbf{\frac{m - n}{m + n} + \frac{?}{m -1} = \frac{2m}{m + n}}

Collect like terms

\mathbf{ \frac{?}{m -1} = \frac{2m}{m + n} - \frac{m - n}{m + n}}

Take LCM

\mathbf{ \frac{?}{m -1} = \frac{2m - m + n}{m + n} }

\mathbf{ \frac{?}{m -1} = \frac{m + n}{m + n} }

Divide \mathbf{ \frac{m + n}{m + n} }

\mathbf{ \frac{?}{m -1} = 1}

Cross multiply

\mathbf{ ? =(m -1)\times 1}

\mathbf{ ? =m -1}

Hence, the missing term is: \mathbf{  m -1}

Read more about equations at:

brainly.com/question/15668451

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pogonyaev

Rewrite the expression as

2a^2-4ab+3ab-6b^2

Factor 2a from the first two terms and 3b from the last two:

2a(a-2b)+3b(a-2b)

Factor a-2b

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3 years ago
mover mike stacked 4 congruent shipping shipping crates. Each crate measured 3 feet in height. How tall is stack of shipping cra
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The height of stack is 36 feet.

<h3>What is unitary method?</h3>

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value

Given:

height of 1 crate = 3 feet

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= 36 feet

Hence, the height of stack of shipping crates is 36 feet.

Learn more about unitary method here:

brainly.com/question/11214202

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2 years ago
Enrique is going to a party this weekend. He is bringing 20 liters of soda to the party. A liter of soda costs $1.59.
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