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

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

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

simplify

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

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

Solution steps

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

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

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

Cancel the common factor:

a - b

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

(16)^{- \frac{3}{4}}

5 x - 5 = 7 x + 1

2 \cdot 12

∣ 2 x - 4 ∣ > - 2

∣ x - 1 ∣ = 6

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