(2x+7)(15y-5) (3x-7)

1 answer

To expand the expression (2x+7)(15y-5)(3x-7), we can use the distributive property.

First, we expand (2x+7)(15y-5):

(2x+7)(15y-5) = 2x(15y-5) + 7(15y-5)
= 30xy - 10x + 105y - 35

Now, we can multiply this result by (3x-7):

(30xy - 10x + 105y - 35)(3x-7) = 30xy(3x-7) - 10x(3x-7) + 105y(3x-7) - 35(3x-7)
= 90x^2y - 210xy - 30x^2 + 70x + 315xy - 735y - 105x + 245 - 105x + 245

Combining like terms, we get:

= 90x^2y + 315xy - 30x^2 - 420x - 735y + 490