Factor the expression 8x3y − 8x2y − 30xy. 8x3y − 8x2y − 30xy

Mathematics

1 answer:

Lelu [443]3 years ago

6 0

Answer:

2xy(2x +3)(2x -5)

Step-by-step explanation:

The greatest common factor of the coefficients 8 and 30 is 2. All of the variable expressions have a common factor of xy. We can factor those out to get ...

= (2xy)(4x^2 -4x -15)

Now, we want to find factors of the product (4)(-15) that have a sum of -4 (the x coefficient). Those factors are 6 and -10. Then we can rewrite the quadratic factor as ...

4x^2 +6x -10x -15

and factor by pairs:

= 2x(2x +3) -5(2x +3) = (2x -5)(2x +3)

The complete factorization is then ...

= 2xy(2x +3)(2x -5)

You might be interested in

Which systems of equations does this graph represent?

Maru [420]

mmcht. can't really see the graph

8 0

2 years ago

A kangaroo hopped \dfrac13 3 1 ? of the distance to the lake with her baby in her pouch. She hopped the remaining 70407040 yards

kogti [31]

Answer:

6 miles.

Step-by-step explanation:

Let x be the total distance hoped by Kangaroo to the lake.

We have been given that a kangaroo hopped 1/3 of the distance to the lake with her baby in her pouch.

She hopped the remaining 7040 yards without her baby in her pouch. This means that 2/3 of total distance (x) is 7040. We can represent this information in an equation as:

$\frac{2}{3}*x=7040$