What is ((a-b)^2)/(a^2-b^2) ?

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

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simplify ((a-b)^2)/(a^2-b^2)

simplify

\frac{( a - b ) ^{2}}{a ^{2} - b ^{2}}

\frac{a - b}{a + b}

Solution steps

\frac{( a - b ) ^{2}}{a ^{2} - b ^{2}}

Apply Difference of Two Squares Formula:

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

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

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

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 ) ( a - b )}

Cancel the common factor:

a - b

= \frac{a - b}{a + b}

6^{2} + x^{2} = 1 2^{2}

2 x + x - 1 \geq 0

\frac{3 x + 1}{4} - \frac{1}{3} \leq \frac{2}{15} (3 x + 2) + \frac{4 ( 1 - x )}{3}

- 2 - 3 n = - 56

\frac{x + 1}{3 - x} > 2

What is ((a-b)^2)/(a^2-b^2) ?
The solution to ((a-b)^2)/(a^2-b^2) is (a-b)/(a+b)