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Inga [223]
3 years ago
8

What are the steps of factoring (5m-2)^2-(3m-4)^2 ?

Mathematics
1 answer:
Svetlanka [38]3 years ago
6 0
We use the formula a^2 - b^2 = ( a - b )( a + b );
We have a = 5m - 2 and b = 3m - 4;
<span>(5m-2)^2-(3m-4)^2 = (5m - 2 -3m + 4) x (5m-2 + 3m - 4) = (2m + 2)(8m - 6) = 2(m +1) x 2(4m - 3) = 4(m+1)(4m-3);

</span>
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There are 4 generations. Daughter, mother, grandma, and great-grandma. The daughter is 44 less than the grandma's age. The great
Snezhnost [94]

Answer:

Age of Grandma = 59 years.

Age of great Grandma = 81 years

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Step-by-step explanation:

Given:

Total years they all lived = 193

We need to find the ages of all lady.

Solution:

Let the age of grandma be 'x'.

Now Given:

The daughter is 44 less than the grandma's age.

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Age of the Daughter = x-44

The great-grandma is 22 more than the grandma's age.

So we can say that;

Age of the great grandma  = x+22

The mother is 80 less than twice the grandma's age.

So we can say that;

Age of the mother  = 2x-80

Now we can say that;

Total years they all lived  is equal to sum of age of grandma, Age of the Daughter, Age of the great grandma, Age of the mother.

framing in equation form we get;

x+x-44+x+22+2x-80=193\\\\5x-102=193

Adding both side by 102 we get;

5x-102+102=193+102\\\\5x= 295

Dividing both side by 5 we get;

\frac{5x}{5}=\frac{295}{5}\\\\x= 59\ years

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Age of Daughter = x-44=59-44=15\ years

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3 years ago
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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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