Factoring Exercises

Answer

x

Answer

First off, factor the numerator by grouping to get 10x²(4x + 7) + 9(4x + 7) = (10x² + 9)(4x + 7) up top. Then pull out a common factor of (4x + 7) from the bottom and cancel like there's no tomorrow to find .

Answer

(2x + 3)(4x – 1) = 8x² + 10x – 3

Answer

Factors as . Can't be simplified.

Answer

We can factor the numerator and denominator by grouping. First rearrange the numerator:

3x²y + xy² – 12x – 4y = 

xy(3x + y) – 4(3x + y) =

(xy – 4)(3x + y)

Then we group the denominator:

3xy + 6x + y² + 2y =

3x(y + 2) + y(y + 2) =

(3x + y)(y + 2)

Finish up by canceling out that 3x + y term from the top and bottom to get . Whew, time to hydrate.