Answer :
Answer:
A) [tex](x+5)(4y-7)[/tex]
Step-by-step explanation:
Given expression:
[tex]4xy-7x+20y-35[/tex]
To factor the given expression completely.
Solution:
In order to factor the expression, we will factor in pairs.
[tex](4xy-7x)+(20y-35)[/tex]
We will factor the G.C.F of the terms in the pairs.
G.C.F. of [tex]4xy[/tex] and [tex]7x[/tex] can be given as:
[tex]4xy=4.x.y[/tex]
[tex]-7x=7.x[/tex]
Thus, G.C.F. = [tex]x[/tex]
G.C.F. of [tex]20y[/tex] and [tex]35[/tex] can be given as:
[tex]20y=2\times 2 \times 5.y[/tex]
[tex]35=5\times 7[/tex]
Thus, G.C.F. = [tex]5[/tex]
The expression after factoring the G.C.F. pairs is given as:
[tex]x(4y-7)+5(4y-7)[/tex]
Taking G.C.F. of the whole expression as [tex](4y-7)[/tex] is a common term.
[tex](x+5)(4y-7)[/tex]
The expression is completely factored.
Answer:
The awnser is A: (x + 5)(4y − 7)
Step-by-step explanation:
hope this helps : )