SOLUTION: The instuctions state to factor out the greatest common factor and write the expression in fadctored form. Use distributive property to verify the ans. 51. 2x3rd power-3x4th p

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: The instuctions state to factor out the greatest common factor and write the expression in fadctored form. Use distributive property to verify the ans. 51. 2x3rd power-3x4th p      Log On


   

Question 64392This question is from textbook beginning algebra
: The instuctions state to factor out the greatest common factor and write the expression in fadctored form. Use distributive property to verify the ans.
51. 2x3rd power-3x4th power+2x3rd power.
53. 25m5th power-50m4th power+100m3rd power.
Please help me solve not sure what to do!!! This question is from textbook beginning algebra

Answer by chitra(359) About Me  (Show Source):
You can put this solution on YOUR website!
The given expressions are:

2x%5E3+-+3x%5E4+%2B+2x%5E3 & 25m%5E5+-+50m%5E4+-+100m%5E3

The first expression can be written as:


x%5E3%282+-+3x+%2B+2%29

Here we take x%5E3 as the highest common factor for the entire expression.

So this implies:

x%5E3%284+-+3x%29

On applying Distributive property to the above expression, we get:

4x%5E3+-+3x%5E4 which is nothing but the given expression itself.

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The second expression is:

25m%5E5+-+50m%5E4+-+100m%5E3

Here in the above expression, we take 25m%5E3 as the highest common factor.

Hence, we get:

25m%5E3%28m%5E2+-+2m+-+4%29

Applying Distributive property, we get:

25m%5E5+-+50m%5E4+-+100m%5E3

Hence, the solution.

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Thus, the solution for the given expressions are:

x%5E3%284+-+3x%29

25m%5E3%28m%5E2+-+2m+-+4%29



Regards,
Chitra

HAPPY CALCULATING!!!!