Question

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

Answer 1

Answer:

$8x^3y-8x^2y-30xy=2xy(2x+3)(2x-5)$

Step-by-step explanation:

we are given an expression as

$8x^3y-8x^2y-30xy$

Firstly, we will find factors

$(2xy)\times 4x^2-(2xy)\times 4x-(2xy)\times 15$

We can see that 2xy is common in all terms

so, we can factor out 2xy from all terms

and we get

$8x^3y-8x^2y-30xy=2xy(4x^2-4x-15)$

now, we can factor again

$4x^2-4x-15=(2x+3)(2x-5)$

we get

$8x^3y-8x^2y-30xy=2xy(2x+3)(2x-5)$