Question

Factor completely 4xy − 7x + 20y − 35.

(x + 5)(4y − 7)
(x − 5)(4y + 7)
(x − 5)(4y − 7)
(x + 5)(4y + 7)

Answer 1

The awnser is A: (x + 5)(4y − 7)

Explanation:

hope this helps : )

Answer 2

A)
`(x+5)(4y-7)`

Explanation:

Given expression:

`4xy-7x+20y-35`

To factor the given expression completely.

Solution:

In order to factor the expression, we will factor in pairs.

`(4xy-7x)+(20y-35)`

We will factor the G.C.F of the terms in the pairs.

G.C.F. of
`4xy` and
`7x` can be given as:

`4xy=4.x.y`

`-7x=7.x`

Thus, G.C.F. =
`x`

G.C.F. of
`20y` and
`35` can be given as:

`20y=2* 2 * 5.y`

`35=5* 7`

Thus, G.C.F. =
`5`

The expression after factoring the G.C.F. pairs is given as:

`x(4y-7)+5(4y-7)`

Taking G.C.F. of the whole expression as
`(4y-7)` is a common term.

`(x+5)(4y-7)`

The expression is completely factored.