Question

Complete the equation 81

2+ 36xy + ----------------.​

Answer 1

81 xyz

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Answer 2

Answer:

STEP

1

:

Equation at the end of step 1

((81 • (x2)) - 36xy) + 22y2

STEP

2

:

Equation at the end of step

2

:

(34x2 - 36xy) + 22y2

STEP

3

:

Trying to factor a multi variable polynomial

3.1 Factoring 81x2 - 36xy + 4y2

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

Found a factorization : (9x - 2y)•(9x - 2y)

Detecting a perfect square :

3.2 81x2 -36xy +4y2 is a perfect square

It factors into (9x-2y)•(9x-2y)

which is another way of writing (9x-2y)2

How to recognize a perfect square trinomial:

• It has three terms

• Two of its terms are perfect squares themselves

• The remaining term is twice the product of the square roots of the other two terms

Step-by-step explanation:

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