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Select the correct answer from each drop-down menu. Factor the expression 8x3y − 8x2y − 30xy. 8x3y − 8x2y − 30xy = ( )( )

Respuesta :

Answer:

[tex]8x^3y-8x^2y-30xy=2xy(2x+3)(2x-5)[/tex]

Step-by-step explanation:

we are given an expression as

[tex]8x^3y-8x^2y-30xy[/tex]

Firstly, we will find factors

[tex](2xy)\times 4x^2-(2xy)\times 4x-(2xy)\times 15[/tex]

We can see that 2xy is common in all terms

so, we can factor out 2xy from all terms

and we get

[tex]8x^3y-8x^2y-30xy=2xy(4x^2-4x-15)[/tex]

now, we can factor again

[tex]4x^2-4x-15=(2x+3)(2x-5)[/tex]

we get

[tex]8x^3y-8x^2y-30xy=2xy(2x+3)(2x-5)[/tex]

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