What is (a+b)/(a^2+2ab+b^2) ?

The solution to (a+b)/(a^2+2ab+b^2) is 1/(a+b)

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simplify (a+b)/(a^2+2ab+b^2)

simplify

\frac{a + b}{a ^{2} + 2 ab + b ^{2}}

\frac{1}{a + b}

Solution steps

\frac{a + b}{a ^{2} + 2 ab + b ^{2}}

Apply Perfect Square Formula:

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

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

= \frac{a + b}{( a + b ) ^{2}}

Apply exponent rule:

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

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

= \frac{a + b}{( a + b ) ( a + b )}

Cancel the common factor:

a + b

= \frac{1}{a + b}

4 x = 20 x - 24

4 a^{2} - 4 ab + b^{2}

\frac{2 π}{3}

12 m - 4 m + 14 = 2 m

\frac{a b ^{- 1}}{4 a ^{- 4} \cdot 4 a}