Question

4^2 + 6xy - 3x + 12y​

Answer 1

Answer:

$6xy - 3x + 12y + 16$

Step-by-step explanation:

Step 1 :

4 = 2^2

(4)^2 = (2^2)^2 = 2^4

= [(2^4 + 6xy) - 3x] + 12y

Step 2 :

Trying to factor a multi variable polynomial :

Split

6xy-3x+12y+16

into two 2-term polynomials

-3x+6xy and +12y+16

This partition did not result in a factorization. We'll try another one:

6xy-3x and +12y+16

This partition did not result in a factorization. We'll try another one:

6xy+12y and -3x+16

This partition did not result in a factorization. We'll try another one:

6xy+16 and +12y-3x

This partition did not result in a factorization. We'll try another one:

+16+6xy and +12y-3x

This partition did not result in a factorization. We'll try another one:

+12y+6xy and -3x+16

All three partitions failed.

Final result :

6xy - 3x + 12y + 16