Question

Add :x 2+5xy 2 + 5 xy – 23 lxy and 8 x 2 -12 xy – 7 l 2​

Answer 1

Answer:

 (-x - y) • (3x + 4y).

Step-by-step explanation:

Step by Step Solution

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STEP

1

:

Equation at the end of step 1

 ((((4•(x2))-5xy)+(y2))+(((0-(8•(x2)))-3xy)-(y2)))+(((x2)+xy)-22y2)

STEP  

2

:

Equation at the end of step

2

:

 ((((4•(x2))-5xy)+(y2))+(((0-23x2)-3xy)-y2))+(x2+xy-4y2)

STEP  

3

:

Equation at the end of step

3

:

 (((22x2-5xy)+y2)+(-8x2-3xy-y2))+(x2+xy-4y2)

STEP

4

:

STEP

5

:

Pulling out like terms

5.1     Pull out like factors :

  -3x2 - 7xy - 4y2  =   -1 • (3x2 + 7xy + 4y2)  

Trying to factor a multi variable polynomial :

5.2    Factoring    3x2 + 7xy + 4y2  

Try to factor this multi-variable trinomial using trial and error  

Found a factorization  :  (x + y)•(3x + 4y)

Final result :

 (-x - y) • (3x + 4y)