(2x-y)^2-14x+7y-18 factorization
Answers
Answer: 4x2 - 4xy - 14x + y2 + 7y - 18
Step-by-step explanation: (2x-y)2-14x+7y-18
Final result :
4x2 - 4xy - 14x + y2 + 7y - 18
Step by step solution :
Step 1 :
Trying to factor by pulling out :
1.1 Factoring: 4x2-4xy-14x+y2+7y-18
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: -14x+7y
Group 2: 4x2-4xy
Group 3: y2-18
Pull out from each group separately :
Group 1: (2x-y) • (-7)
Group 2: (x-y) • (4x)
Group 3: (y2-18) • (1)
Looking for common sub-expressions :
Group 1: (2x-y) • (-7)
Group 3: (y2-18) • (1)
Group 2: (x-y) • (4x)
Bad news !! Factoring by pulling out fails :
The groups have no common factor and can not be added up to form a multiplication.
Final result :
4x2 - 4xy - 14x + y2 + 7y - 18
(2x-y)^2-7(2x-y)-18
Let 2x-y=a
a^2-7a-18
a^2-9a+2a-18 (splitting the middle term)
a(a-9)+2(a-9)
(a-9)(a+2)
Now putting a= 2x-y
(2x-y-9)(2x-y+2) Ans.