Respuesta :

Answer:

[tex](a-c)(y+5)[/tex]

Step-by-step explanation:

Given expression:

[tex]y(a-c)+5a-5c[/tex]

To solve the above expression.

Solution:

We have:

[tex]y(a-c)+5a-5c[/tex]

We see that 5 is a common factor to the last two terms.

Using distributive property we can factor out 5 from the last two terms.

So, we get:

⇒  [tex]y(a-c)+5(a-c)[/tex]

We find out that [tex](a-c)[/tex] is a common factor to the whole expression.

Again using distributive property to factor out [tex](a-c)[/tex]  from the expression.

⇒ [tex](a-c)(y+5)[/tex] (Answer)

We get a completely factored form of the expression.

Answer:

(a - c)(Y + 5)

Step-by-step explanation:

Y(a -c) + 5a - 5c

Y(a - c) + 5(a - c)

(a - c)(Y + 5)

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