What is (6g^2-18g)/(g^2-6g+9)-(g^2-9)/(g^2+6g+9) ?

The solution to (6g^2-18g)/(g^2-6g+9)-(g^2-9)/(g^2+6g+9) is (5g^2+24g-9)/((g-3)(g+3))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (6g^2-18g)/(g^2-6g+9)-(g^2-9)/(g^2+6g+9)

simplify

\frac{6 g ^{2} - 18 g}{g ^{2} - 6 g + 9} - \frac{g ^{2} - 9}{g ^{2} + 6 g + 9}

\frac{5 g ^{2} + 24 g - 9}{( g - 3 ) ( g + 3 )}

Solution steps

\frac{6 g ^{2} - 18 g}{g ^{2} - 6 g + 9} - \frac{g ^{2} - 9}{g ^{2} + 6 g + 9}

Cancel

\frac{6 g ^{2} - 18 g}{g ^{2} - 6 g + 9} : \frac{6 g}{g - 3}

= \frac{6 g}{g - 3} - \frac{g ^{2} - 9}{g ^{2} + 6 g + 9}

Cancel

\frac{g ^{2} - 9}{g ^{2} + 6 g + 9} : \frac{g - 3}{g + 3}

= \frac{6 g}{g - 3} - \frac{g - 3}{g + 3}

Simplify

\frac{6 g}{g - 3} - \frac{g - 3}{g + 3} : \frac{6 g ( g + 3 ) - ( g - 3 ) ^{2}}{( g - 3 ) ( g + 3 )}

= \frac{6 g ( g + 3 ) - ( g - 3 ) ^{2}}{( g - 3 ) ( g + 3 )}

Simplify

6 g (g + 3) - (g - 3)^{2} : 5 g^{2} + 24 g - 9

= \frac{5 g ^{2} + 24 g - 9}{( g - 3 ) ( g + 3 )}

f^{- 1} (8)

(25)^{3} (25)^{- 4}

9 - - 2 + 64 + - 18

(- 1 - x) (- 1 - x)

2 x \cdot 2 x^{2}

What is (6g^2-18g)/(g^2-6g+9)-(g^2-9)/(g^2+6g+9) ?
The solution to (6g^2-18g)/(g^2-6g+9)-(g^2-9)/(g^2+6g+9) is (5g^2+24g-9)/((g-3)(g+3))