Question

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

Answer 1

Answer:

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

Step-by-step 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:

$20y=2\times 2 \times 5.y$

$35=5\times 7$

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.

Answer 2

Answer:

The awnser is A: (x + 5)(4y − 7)

Step-by-step explanation:

hope this helps : )