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X^4y^2 - 6xyz + 9z^2=​

1 Answer

2 votes

Answer:

(xy+3z) 2 (The two is small just saying)

Explanation:

Step 1:

(((x2) • (y2)) + 6xyz) + 32z2

Step 2:

2.1 Factoring x2y2 + 6xyz + 9z2

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

Found a factorization : (xy + 3z)•(xy + 3z)

Step 3:

2.2 x2y2 +6xyz +9z2 is a perfect square

It factors into (xy+3z)•(xy+3z)

which is another way of writing (xy+3z)2

User Grand Johnson
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