What is (x^2+2xy+y^2)/(x+y) ?

The solution to (x^2+2xy+y^2)/(x+y) is x+y

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simplify (x^2+2xy+y^2)/(x+y)

simplify

\frac{x ^{2} + 2 x y + y ^{2}}{x + y}

x + y

Solution steps

\frac{x ^{2} + 2 x y + y ^{2}}{x + y}

Apply Perfect Square Formula:

a^{2} + 2 ab + b^{2} = (a + b)^{2}

x^{2} + 2 x y + y^{2} = (x + y)^{2}

= \frac{( x + y ) ^{2}}{x + y}

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

(x + y)^{2} = (x + y) (x + y)

= \frac{( x + y ) ( x + y )}{x + y}

Cancel the common factor:

x + y

= x + y

4 \cdot (- \frac{3}{2})

\frac{49}{6}

- 2 w z (6 w^{2} - 4 w z + 3 z^{2})

60 \cdot 40 \cdot 30

\frac{6}{2 - 7}