Question

12x²-29xy+14y² factorise​

Answer 1

Answer:

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12x2+29xy-14y2

Final result :

(7y - 4x) • (3x - 2y)

Step by step solution :

Step 1 :

Equation at the end of step 1 :

((0 - (12 • (x2))) + 29xy) - (2•7y2)

Step 2 :

Equation at the end of step 2 :

((0 - (22•3x2)) + 29xy) - (2•7y2)

Step 3 :

Step 4 :

Pulling out like terms :

4.1 Pull out like factors :

-12x2 + 29xy - 14y2 = -1 • (12x2 - 29xy + 14y2)

Trying to factor a multi variable polynomial :

4.2 Factoring 12x2 - 29xy + 14y2

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

Found a factorization : (4x - 7y)•(3x - 2y)

Final result :

(7y - 4x) • (3x - 2y)

Answer 2

12x²-29xy+14y²

=>12x²-8xy-21xy+14y²

=>4x(3x-2y)-7y(3x-2y)

=>(4x-7y)(3x-2y)

hope it helps

:-)