What is (2x^2-32)/(3x^2+14x+8) ?

The solution to (2x^2-32)/(3x^2+14x+8) is (2(x-4))/(3x+2)

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simplify (2x^2-32)/(3x^2+14x+8)

simplify

\frac{2 x ^{2} - 32}{3 x ^{2} + 14 x + 8}

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

Solution steps

\frac{2 x ^{2} - 32}{3 x ^{2} + 14 x + 8}

Factor

2 x^{2} - 32 : 2 (x + 4) (x - 4)

= \frac{2 ( x + 4 ) ( x - 4 )}{3 x ^{2} + 14 x + 8}

Factor

3 x^{2} + 14 x + 8 : (3 x + 2) (x + 4)

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

Cancel the common factor:

x + 4

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

5.25

5.56

y^{2} - 4 y - 5

(+ 7) + (+ 8)

3^{2} + 4^{2}

What is (2x^2-32)/(3x^2+14x+8) ?
The solution to (2x^2-32)/(3x^2+14x+8) is (2(x-4))/(3x+2)