Question

(x-5)(2y-3)+(x-5) (4y+1)​

Answer 1

Ответ:

(x-5)(2y-3)+(x-5)(4y+1)=2xy-3x-10y+15+4xy+x-20y-5=6xy-2x-10y+10

Пошаговое объяснение:

Answer 2

To simplify the given expression, let's factor out the common term "(x-5)" from both terms:

(x-5)(2y-3) + (x-5)(4y+1)

Now, we can apply the distributive property, which states that for any numbers a, b, and c:

a(b + c) = ab + ac

So, using this property, we can simplify the expression as follows:

(x-5)(2y-3) + (x-5)(4y+1) = (x-5) * 2y + (x-5) * (-3) + (x-5) * 4y + (x-5) * 1 = 2xy - 10y - 3x + 15 + 4xy - 20y + x - 5

Now, combine like terms:

(2xy + 4xy) + (-3x + x) + (-10y - 20y) + (15 - 5)

= 6xy - 2x - 30y + 10

So, the simplified expression is: 6xy - 2x - 30y + 10.