SOLUTION: Factor the binomial 81m^4-625

Question 190660: Factor the binomial
81m^4-625
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Start with the given expression.

Rewrite as .

Rewrite as .

Notice how we have a difference of squares where in this case and .

So let's use the difference of squares formula to factor the expression:

Start with the difference of squares formula.

Plug in and .

So this shows us that factors to .

In other words .

Now let's factor

----------------------------------------

Start with the given expression.

Rewrite as .

Rewrite as .

Notice how we have a difference of squares where in this case and .

So let's use the difference of squares formula to factor the expression:

Start with the difference of squares formula.

Plug in and .

So this shows us that factors to .

In other words .

----------------------------------------

So completely factors to

In other words,
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