Distribute (x2 + 2xy + y2) (x+1)

and show work ...

(x2+2xy+y2) (x+1) Final result : (x + y) 2 • (x + 1) 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 : Step 1 : Trying to factor a multi variable polynomial:

1.1 Factoring x2 + 2xy + y2

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

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

Detecting a perfect square:

1.2 x2 + 2xy + y2 is a perfect square

It factors into (x+y) • (x+y)

which is another way of writing (x+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 : (x + y) 2 • (x + 1)

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