Answer:
(4y-7) (x+5)
Explanation:
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Why is this in english
The correct option is A). (x + 5)(4y − 7).
Step by step explanation:-
Given expression is:- 4xy − 7x + 20y − 35
Solution: In order to factor the expression, we will factor in pairs:-
(4xy - 7x) + (20y - 35)
we will factor the GCF of the given term 4xy and 7x in the pairs such as:
4xy- 4.x.y
-7x = 7.x.
Thus, the GCF = x
GCF of 20y and 35 can be concluded as:
20y = 2* 2* 5.y
35 = 5*7
Thus, the GCF = 5
The equation after the factor of GCF pairs would be:
x(4y- 7) + 5(4y - 7)
Taking GCF of the whole equation as (4y-7)is a common term-
(x + 5) (4y - 7)
Hence, it is proves that the expression is completely factored. Thus, the correct option is A). (x + 5)(4y − 7)
Complete question is: Factor completely 4xy − 7x + 20y − 35.
A). (x + 5)(4y − 7)
B). (x − 5)(4y + 7)
C). (x − 5)(4y − 7)
D). (x + 5)(4y + 7)
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