# Factoring multivariable polynomials

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This solution deals with factoring multivariable polynomials.

Solution found

(x+8y)^2

## Step by Step Solution

## Step 1 :

#### Equation at the end of step 1 :

` ((x`^{2}) + 16xy) + 2^{6}y^{2}

## Step 2 :

#### Trying to factor a multi variable polynomial :

2.1 Factoring x^{2} + 16xy + 64y^{2}

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

Found a factorization : (x + 8y)•(x + 8y)

#### Detecting a perfect square :

2.2 x^{2} +16xy +64y^{2} is a perfect square

It factors into (x+8y)•(x+8y)

which is another way of writing (x+8y)^{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 :

` (x + 8y)`^{2}