Question

find the missing perfect square trinomial of 81x² + 54xy + 2y

Answer 1

Answer:

mark brainlist pls✌

Step-by-step explanation:

1 solution(s) found

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Step by Step Solution

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STEP

1

:

Equation at the end of step 1

((81 • (x2)) - 54xy) + 32y2

STEP

2

:

Equation at the end of step

2

:

(34x2 - 54xy) + 32y2

STEP

3

:

STEP

4

:

Pulling out like terms

4.1 Pull out like factors :

81x2 - 54xy + 9y2 = 9 • (9x2 - 6xy + y2)

Trying to factor a multi variable polynomial :

4.2 Factoring 9x2 - 6xy + y2

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

Found a factorization : (3x - y)•(3x - y)

Detecting a perfect square :

4.3 9x2 -6xy +y2 is a perfect square

It factors into (3x-y)•(3x-y)

which is another way of writing (3x-y)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
• Final result :
• 9 • (3x - y)2