What is (4(x^2-4))/(12(x+2)(x-2)) ?

The solution to (4(x^2-4))/(12(x+2)(x-2)) is 1/3

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simplify (4(x^2-4))/(12(x+2)(x-2))

simplify

\frac{4 ( x ^{2} - 4 )}{12 ( x + 2 ) ( x - 2 )}

\frac{1}{3}

Decimal Notation

0.33333 \dots

Solution steps

\frac{4 ( x ^{2} - 4 )}{12 ( x + 2 ) ( x - 2 )}

Factor the number:

12 = 4 \cdot 3

= \frac{4 ( x ^{2} - 4 )}{4 \cdot 3 ( x + 2 ) ( x - 2 )}

Cancel the common factor:

4

= \frac{x ^{2} - 4}{3 ( x + 2 ) ( x - 2 )}

Factor

x^{2} - 4 : (x + 2) (x - 2)

= \frac{( x + 2 ) ( x - 2 )}{3 ( x + 2 ) ( x - 2 )}

Cancel the common factor:

x + 2

= \frac{x - 2}{3 ( x - 2 )}

Cancel the common factor:

x - 2

= \frac{1}{3}

(a - 1) (a^{2} + a + 1)

(- 15 - - 9) - (3 - - 9)

- 36 \div 9

9 x^{5} (7 x^{2} - 3 x^{2} + 2)

(3 a + 1)^{2}

What is (4(x^2-4))/(12(x+2)(x-2)) ?
The solution to (4(x^2-4))/(12(x+2)(x-2)) is 1/3