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1a: 28x²+24xy-27y²

B: 28x²+24xy-27y2-6x-9y

Guest Oct 24, 2014

Best Answer 

 #1
avatar+92806 
+10

28x²+24xy-27y²

I am looking for 2 numbers that add to 24 and multiply to  -28*27

a+b=24   and ab=-28*27

solving this simultaneously I get a and b are  -18 and 42

 

$$\\28x^2-18xy+42xy-27y^2\\
=2x(14x-9y)+3y(14x-9y)\\
=(2x+3y)(14x-9y)$$

 

B  

$$\\28x^2+24xy-27y^2-6x-9y\\
=(2x+3y)(14x-9y)-3(2x+3y)\\
=(2x+3y)(14x-9y-3)$$
 

Melody  Oct 24, 2014
 #1
avatar+92806 
+10
Best Answer

28x²+24xy-27y²

I am looking for 2 numbers that add to 24 and multiply to  -28*27

a+b=24   and ab=-28*27

solving this simultaneously I get a and b are  -18 and 42

 

$$\\28x^2-18xy+42xy-27y^2\\
=2x(14x-9y)+3y(14x-9y)\\
=(2x+3y)(14x-9y)$$

 

B  

$$\\28x^2+24xy-27y^2-6x-9y\\
=(2x+3y)(14x-9y)-3(2x+3y)\\
=(2x+3y)(14x-9y-3)$$
 

Melody  Oct 24, 2014

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