<span><span> (x2+2xy+y2)(x+1)</span> </span>Final result :<span> (x + y)2 • (x + 1)
</span>Reformatting the input :
Changes made to your input should not affect the solution:
(1): "y2" was replaced by "y^2". 1 more similar replacement(s).
Step by step solution :<span>Step 1 :</span>Trying to factor a multi variable polynomial :
<span> 1.1 </span> Factoring <span> x2 + 2xy + y2</span>
Try to factor this multi-variable trinomial using trial and error<span>
</span>Found a factorization : (x + y)•(x + y)
Detecting a perfect square :
<span> 1.2 </span> <span> x2</span> +2xy <span> +y2</span> is a perfect square<span>
</span>It factors into (x+y)•(x+y)
which is another way of writing <span> (x+y)2</span>
How to recognize a perfect square trinomial: <span>
</span>• It has three terms <span>
</span>• Two of its terms are perfect squares themselves <span>
</span>• The remaining term is twice the product of the square roots of the other two terms
Final result :<span> (x + y)2 • (x + 1)
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