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Question 5: Factorize 4 x 2 − 17 x y + 4y 2

 

Question 5: Factorize 4 x 2 − 17 x y + 4y 2

Factorization exercises , factorization examples

Solution:

To see as how to evaluate an expression for factorization, we write it;

Multiply last term i-e ​​ with the first term ​​ we get  ​​. So, we split mid term -17xy into two parts so that if we add these two parts we get -17xy ------ and if these two parts are multiplied we get  ​​.

We can think of (-16 xy) and (-1xy)because;

1- when added (-16xy) +(-1xy) = -16xy-xy= -17xy

2- when multiplied (-16xy) (-1xy) =  ​

 

So, we write;

Take 4x as common from first two terms and (-1y) as common from last two terms;

or

 

 

 

 

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